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Finding the Fourth Proportional to 2,342.40, 3,513.60 and 954.87

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Solution

The fourth proportional to 2,342.40, 3,513.60 and 954.87 is: 1,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.40 : 3,513.60 = 954.87 : x
  2. Step 2: Convert to fraction form
    2,342.40/3,513.60 = 954.87/x
  3. Step 3: Cross multiply
    2,342.40x = 3,513.60 × 954.87
  4. Step 4: Simplify right side
    2,342.40x = 3,355,031.23
  5. Step 5: Solve for x
    x = 3,355,031.23/2,342.40
  6. Step 6: Final answer
    x = 1,432.31

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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.