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Finding the Fourth Proportional to 2,332.15, 3,498.23 and 577.17

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Solution

The fourth proportional to 2,332.15, 3,498.23 and 577.17 is: 865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.15 : 3,498.23 = 577.17 : x
  2. Step 2: Convert to fraction form
    2,332.15/3,498.23 = 577.17/x
  3. Step 3: Cross multiply
    2,332.15x = 3,498.23 × 577.17
  4. Step 4: Simplify right side
    2,332.15x = 2,019,074.85
  5. Step 5: Solve for x
    x = 2,019,074.85/2,332.15
  6. Step 6: Final answer
    x = 865.76

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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.