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Finding the Fourth Proportional to 2,347.90, 3,517.13 and 1,116.50

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Solution

The fourth proportional to 2,347.90, 3,517.13 and 1,116.50 is: 1,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.90 : 3,517.13 = 1,116.50 : x
  2. Step 2: Convert to fraction form
    2,347.90/3,517.13 = 1,116.50/x
  3. Step 3: Cross multiply
    2,347.90x = 3,517.13 × 1,116.50
  4. Step 4: Simplify right side
    2,347.90x = 3,926,860.85
  5. Step 5: Solve for x
    x = 3,926,860.85/2,347.90
  6. Step 6: Final answer
    x = 1,672.50

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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.