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Finding the Fourth Proportional to 1,874.26, 2,586.42 and 1,034.94

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Solution

The fourth proportional to 1,874.26, 2,586.42 and 1,034.94 is: 1,428.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.26 : 2,586.42 = 1,034.94 : x
  2. Step 2: Convert to fraction form
    1,874.26/2,586.42 = 1,034.94/x
  3. Step 3: Cross multiply
    1,874.26x = 2,586.42 × 1,034.94
  4. Step 4: Simplify right side
    1,874.26x = 2,676,795.98
  5. Step 5: Solve for x
    x = 2,676,795.98/1,874.26
  6. Step 6: Final answer
    x = 1,428.19

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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.