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Finding the Fourth Proportional to 2,505.89, 3,753.70 and 1,407.95

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Solution

The fourth proportional to 2,505.89, 3,753.70 and 1,407.95 is: 2,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.89 : 3,753.70 = 1,407.95 : x
  2. Step 2: Convert to fraction form
    2,505.89/3,753.70 = 1,407.95/x
  3. Step 3: Cross multiply
    2,505.89x = 3,753.70 × 1,407.95
  4. Step 4: Simplify right side
    2,505.89x = 5,285,021.92
  5. Step 5: Solve for x
    x = 5,285,021.92/2,505.89
  6. Step 6: Final answer
    x = 2,109.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.