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Finding the Fourth Proportional to 2,045.94, 2,823.24 and 1,149.63

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Solution

The fourth proportional to 2,045.94, 2,823.24 and 1,149.63 is: 1,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.94 : 2,823.24 = 1,149.63 : x
  2. Step 2: Convert to fraction form
    2,045.94/2,823.24 = 1,149.63/x
  3. Step 3: Cross multiply
    2,045.94x = 2,823.24 × 1,149.63
  4. Step 4: Simplify right side
    2,045.94x = 3,245,681.40
  5. Step 5: Solve for x
    x = 3,245,681.40/2,045.94
  6. Step 6: Final answer
    x = 1,586.40

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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.