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Finding the Fourth Proportional to 1,874.64, 2,586.96 and 1,035.29

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Solution

The fourth proportional to 1,874.64, 2,586.96 and 1,035.29 is: 1,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.64 : 2,586.96 = 1,035.29 : x
  2. Step 2: Convert to fraction form
    1,874.64/2,586.96 = 1,035.29/x
  3. Step 3: Cross multiply
    1,874.64x = 2,586.96 × 1,035.29
  4. Step 4: Simplify right side
    1,874.64x = 2,678,260.29
  5. Step 5: Solve for x
    x = 2,678,260.29/1,874.64
  6. Step 6: Final answer
    x = 1,428.68

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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.