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Finding the Fourth Proportional to 2,332.62, 3,498.06 and 945.60

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Solution

The fourth proportional to 2,332.62, 3,498.06 and 945.60 is: 1,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.62 : 3,498.06 = 945.60 : x
  2. Step 2: Convert to fraction form
    2,332.62/3,498.06 = 945.60/x
  3. Step 3: Cross multiply
    2,332.62x = 3,498.06 × 945.60
  4. Step 4: Simplify right side
    2,332.62x = 3,307,765.54
  5. Step 5: Solve for x
    x = 3,307,765.54/2,332.62
  6. Step 6: Final answer
    x = 1,418.05

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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.