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Finding the Fourth Proportional to 2,332.06, 3,498.80 and 945.13

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Solution

The fourth proportional to 2,332.06, 3,498.80 and 945.13 is: 1,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.06 : 3,498.80 = 945.13 : x
  2. Step 2: Convert to fraction form
    2,332.06/3,498.80 = 945.13/x
  3. Step 3: Cross multiply
    2,332.06x = 3,498.80 × 945.13
  4. Step 4: Simplify right side
    2,332.06x = 3,306,820.84
  5. Step 5: Solve for x
    x = 3,306,820.84/2,332.06
  6. Step 6: Final answer
    x = 1,417.98

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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.