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Finding the Fourth Proportional to 2,348.76, 3,521.54 and 961.70

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Solution

The fourth proportional to 2,348.76, 3,521.54 and 961.70 is: 1,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.76 : 3,521.54 = 961.70 : x
  2. Step 2: Convert to fraction form
    2,348.76/3,521.54 = 961.70/x
  3. Step 3: Cross multiply
    2,348.76x = 3,521.54 × 961.70
  4. Step 4: Simplify right side
    2,348.76x = 3,386,665.02
  5. Step 5: Solve for x
    x = 3,386,665.02/2,348.76
  6. Step 6: Final answer
    x = 1,441.89

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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.