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Finding the Fourth Proportional to 2,504.74, 3,456.25 and 1,385.53

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Solution

The fourth proportional to 2,504.74, 3,456.25 and 1,385.53 is: 1,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.74 : 3,456.25 = 1,385.53 : x
  2. Step 2: Convert to fraction form
    2,504.74/3,456.25 = 1,385.53/x
  3. Step 3: Cross multiply
    2,504.74x = 3,456.25 × 1,385.53
  4. Step 4: Simplify right side
    2,504.74x = 4,788,725.47
  5. Step 5: Solve for x
    x = 4,788,725.47/2,504.74
  6. Step 6: Final answer
    x = 1,911.86

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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.