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Finding the Fourth Proportional to 2,471.54, 3,707.30 and 1,693.53

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Solution

The fourth proportional to 2,471.54, 3,707.30 and 1,693.53 is: 2,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.54 : 3,707.30 = 1,693.53 : x
  2. Step 2: Convert to fraction form
    2,471.54/3,707.30 = 1,693.53/x
  3. Step 3: Cross multiply
    2,471.54x = 3,707.30 × 1,693.53
  4. Step 4: Simplify right side
    2,471.54x = 6,278,428.00
  5. Step 5: Solve for x
    x = 6,278,428.00/2,471.54
  6. Step 6: Final answer
    x = 2,540.30

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Why These Related Problems?

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