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Finding the Fourth Proportional to 1,354.32, 2,035.13 and 1,314.23

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Solution

The fourth proportional to 1,354.32, 2,035.13 and 1,314.23 is: 1,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.32 : 2,035.13 = 1,314.23 : x
  2. Step 2: Convert to fraction form
    1,354.32/2,035.13 = 1,314.23/x
  3. Step 3: Cross multiply
    1,354.32x = 2,035.13 × 1,314.23
  4. Step 4: Simplify right side
    1,354.32x = 2,674,612.15
  5. Step 5: Solve for x
    x = 2,674,612.15/1,354.32
  6. Step 6: Final answer
    x = 1,974.87

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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.