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Finding the Fourth Proportional to 1,569.32, 2,166.90 and 1,274.12

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Solution

The fourth proportional to 1,569.32, 2,166.90 and 1,274.12 is: 1,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.32 : 2,166.90 = 1,274.12 : x
  2. Step 2: Convert to fraction form
    1,569.32/2,166.90 = 1,274.12/x
  3. Step 3: Cross multiply
    1,569.32x = 2,166.90 × 1,274.12
  4. Step 4: Simplify right side
    1,569.32x = 2,760,890.63
  5. Step 5: Solve for x
    x = 2,760,890.63/1,569.32
  6. Step 6: Final answer
    x = 1,759.29

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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.