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Finding the Fourth Proportional to 1,874.28, 2,586.52 and 1,034.96

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Solution

The fourth proportional to 1,874.28, 2,586.52 and 1,034.96 is: 1,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.28 : 2,586.52 = 1,034.96 : x
  2. Step 2: Convert to fraction form
    1,874.28/2,586.52 = 1,034.96/x
  3. Step 3: Cross multiply
    1,874.28x = 2,586.52 × 1,034.96
  4. Step 4: Simplify right side
    1,874.28x = 2,676,944.74
  5. Step 5: Solve for x
    x = 2,676,944.74/1,874.28
  6. Step 6: Final answer
    x = 1,428.25

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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.