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Finding the Fourth Proportional to 2,315.60, 3,472.24 and 1,016.48

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Solution

The fourth proportional to 2,315.60, 3,472.24 and 1,016.48 is: 1,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.60 : 3,472.24 = 1,016.48 : x
  2. Step 2: Convert to fraction form
    2,315.60/3,472.24 = 1,016.48/x
  3. Step 3: Cross multiply
    2,315.60x = 3,472.24 × 1,016.48
  4. Step 4: Simplify right side
    2,315.60x = 3,529,462.52
  5. Step 5: Solve for x
    x = 3,529,462.52/2,315.60
  6. Step 6: Final answer
    x = 1,524.21

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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.