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Finding the Fourth Proportional to 1,691.64, 2,534.31 and 910.53

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Solution

The fourth proportional to 1,691.64, 2,534.31 and 910.53 is: 1,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.64 : 2,534.31 = 910.53 : x
  2. Step 2: Convert to fraction form
    1,691.64/2,534.31 = 910.53/x
  3. Step 3: Cross multiply
    1,691.64x = 2,534.31 × 910.53
  4. Step 4: Simplify right side
    1,691.64x = 2,307,565.28
  5. Step 5: Solve for x
    x = 2,307,565.28/1,691.64
  6. Step 6: Final answer
    x = 1,364.10

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