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Finding the Fourth Proportional to 2,330.59, 3,497.71 and 869.83

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Solution

The fourth proportional to 2,330.59, 3,497.71 and 869.83 is: 1,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.59 : 3,497.71 = 869.83 : x
  2. Step 2: Convert to fraction form
    2,330.59/3,497.71 = 869.83/x
  3. Step 3: Cross multiply
    2,330.59x = 3,497.71 × 869.83
  4. Step 4: Simplify right side
    2,330.59x = 3,042,413.09
  5. Step 5: Solve for x
    x = 3,042,413.09/2,330.59
  6. Step 6: Final answer
    x = 1,305.43

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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.