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Finding the Fourth Proportional to 2,342.53, 3,513.80 and 1,609.89

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Solution

The fourth proportional to 2,342.53, 3,513.80 and 1,609.89 is: 2,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.53 : 3,513.80 = 1,609.89 : x
  2. Step 2: Convert to fraction form
    2,342.53/3,513.80 = 1,609.89/x
  3. Step 3: Cross multiply
    2,342.53x = 3,513.80 × 1,609.89
  4. Step 4: Simplify right side
    2,342.53x = 5,656,831.48
  5. Step 5: Solve for x
    x = 5,656,831.48/2,342.53
  6. Step 6: Final answer
    x = 2,414.84

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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.