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Finding the Fourth Proportional to 2,351.90, 3,523.07 and 1,655.48

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Solution

The fourth proportional to 2,351.90, 3,523.07 and 1,655.48 is: 2,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.90 : 3,523.07 = 1,655.48 : x
  2. Step 2: Convert to fraction form
    2,351.90/3,523.07 = 1,655.48/x
  3. Step 3: Cross multiply
    2,351.90x = 3,523.07 × 1,655.48
  4. Step 4: Simplify right side
    2,351.90x = 5,832,384.87
  5. Step 5: Solve for x
    x = 5,832,384.87/2,351.90
  6. Step 6: Final answer
    x = 2,479.86

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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.