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Finding the Fourth Proportional to 2,164,147.86, 2,986,553.56 and 1,348,681.16

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Solution

The fourth proportional to 2,164,147.86, 2,986,553.56 and 1,348,681.16 is: 1,861,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,147.86 : 2,986,553.56 = 1,348,681.16 : x
  2. Step 2: Convert to fraction form
    2,164,147.86/2,986,553.56 = 1,348,681.16/x
  3. Step 3: Cross multiply
    2,164,147.86x = 2,986,553.56 × 1,348,681.16
  4. Step 4: Simplify right side
    2,164,147.86x = 4,027,908,519,702.93
  5. Step 5: Solve for x
    x = 4,027,908,519,702.93/2,164,147.86
  6. Step 6: Final answer
    x = 1,861,198.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.