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Finding the Fourth Proportional to 1,505.74, 2,077.68 and 1,374.52

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Solution

The fourth proportional to 1,505.74, 2,077.68 and 1,374.52 is: 1,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.74 : 2,077.68 = 1,374.52 : x
  2. Step 2: Convert to fraction form
    1,505.74/2,077.68 = 1,374.52/x
  3. Step 3: Cross multiply
    1,505.74x = 2,077.68 × 1,374.52
  4. Step 4: Simplify right side
    1,505.74x = 2,855,812.71
  5. Step 5: Solve for x
    x = 2,855,812.71/1,505.74
  6. Step 6: Final answer
    x = 1,896.62

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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.