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Finding the Fourth Proportional to 2,666.91, 3,681.38 and 1,782.39

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Solution

The fourth proportional to 2,666.91, 3,681.38 and 1,782.39 is: 2,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.91 : 3,681.38 = 1,782.39 : x
  2. Step 2: Convert to fraction form
    2,666.91/3,681.38 = 1,782.39/x
  3. Step 3: Cross multiply
    2,666.91x = 3,681.38 × 1,782.39
  4. Step 4: Simplify right side
    2,666.91x = 6,561,654.90
  5. Step 5: Solve for x
    x = 6,561,654.90/2,666.91
  6. Step 6: Final answer
    x = 2,460.40

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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.