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Finding the Fourth Proportional to 2,347.68, 3,237.36 and 1,640.16

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Solution

The fourth proportional to 2,347.68, 3,237.36 and 1,640.16 is: 2,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.68 : 3,237.36 = 1,640.16 : x
  2. Step 2: Convert to fraction form
    2,347.68/3,237.36 = 1,640.16/x
  3. Step 3: Cross multiply
    2,347.68x = 3,237.36 × 1,640.16
  4. Step 4: Simplify right side
    2,347.68x = 5,309,788.38
  5. Step 5: Solve for x
    x = 5,309,788.38/2,347.68
  6. Step 6: Final answer
    x = 2,261.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.