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Finding the Fourth Proportional to 2,332.88, 3,496.20 and 1,713.68

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Solution

The fourth proportional to 2,332.88, 3,496.20 and 1,713.68 is: 2,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.88 : 3,496.20 = 1,713.68 : x
  2. Step 2: Convert to fraction form
    2,332.88/3,496.20 = 1,713.68/x
  3. Step 3: Cross multiply
    2,332.88x = 3,496.20 × 1,713.68
  4. Step 4: Simplify right side
    2,332.88x = 5,991,368.02
  5. Step 5: Solve for x
    x = 5,991,368.02/2,332.88
  6. Step 6: Final answer
    x = 2,568.23

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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.