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Finding the Fourth Proportional to 2,475.54, 3,707.45 and 2,149.13

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Solution

The fourth proportional to 2,475.54, 3,707.45 and 2,149.13 is: 3,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.54 : 3,707.45 = 2,149.13 : x
  2. Step 2: Convert to fraction form
    2,475.54/3,707.45 = 2,149.13/x
  3. Step 3: Cross multiply
    2,475.54x = 3,707.45 × 2,149.13
  4. Step 4: Simplify right side
    2,475.54x = 7,967,798.60
  5. Step 5: Solve for x
    x = 7,967,798.60/2,475.54
  6. Step 6: Final answer
    x = 3,218.61

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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.