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Finding the Fourth Proportional to 1,569, 2,354.63 and 1,264.53

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Solution

The fourth proportional to 1,569, 2,354.63 and 1,264.53 is: 1,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 2,354.63 = 1,264.53 : x
  2. Step 2: Convert to fraction form
    1,569/2,354.63 = 1,264.53/x
  3. Step 3: Cross multiply
    1,569x = 2,354.63 × 1,264.53
  4. Step 4: Simplify right side
    1,569x = 2,977,500.27
  5. Step 5: Solve for x
    x = 2,977,500.27/1,569
  6. Step 6: Final answer
    x = 1,897.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.