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Finding the Fourth Proportional to 1,569.47, 2,166.32 and 1,256.91

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Solution

The fourth proportional to 1,569.47, 2,166.32 and 1,256.91 is: 1,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.47 : 2,166.32 = 1,256.91 : x
  2. Step 2: Convert to fraction form
    1,569.47/2,166.32 = 1,256.91/x
  3. Step 3: Cross multiply
    1,569.47x = 2,166.32 × 1,256.91
  4. Step 4: Simplify right side
    1,569.47x = 2,722,862.99
  5. Step 5: Solve for x
    x = 2,722,862.99/1,569.47
  6. Step 6: Final answer
    x = 1,734.90

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