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Finding the Fourth Proportional to 2,347.65, 3,517.02 and 1,252.53

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Solution

The fourth proportional to 2,347.65, 3,517.02 and 1,252.53 is: 1,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.65 : 3,517.02 = 1,252.53 : x
  2. Step 2: Convert to fraction form
    2,347.65/3,517.02 = 1,252.53/x
  3. Step 3: Cross multiply
    2,347.65x = 3,517.02 × 1,252.53
  4. Step 4: Simplify right side
    2,347.65x = 4,405,173.06
  5. Step 5: Solve for x
    x = 4,405,173.06/2,347.65
  6. Step 6: Final answer
    x = 1,876.42

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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.