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Finding the Fourth Proportional to 2,347.95, 3,521.92 and 961.93

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Solution

The fourth proportional to 2,347.95, 3,521.92 and 961.93 is: 1,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.95 : 3,521.92 = 961.93 : x
  2. Step 2: Convert to fraction form
    2,347.95/3,521.92 = 961.93/x
  3. Step 3: Cross multiply
    2,347.95x = 3,521.92 × 961.93
  4. Step 4: Simplify right side
    2,347.95x = 3,387,835.70
  5. Step 5: Solve for x
    x = 3,387,835.70/2,347.95
  6. Step 6: Final answer
    x = 1,442.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.