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Finding the Fourth Proportional to 2,342.97, 3,511.40 and 954.68

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Solution

The fourth proportional to 2,342.97, 3,511.40 and 954.68 is: 1,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.97 : 3,511.40 = 954.68 : x
  2. Step 2: Convert to fraction form
    2,342.97/3,511.40 = 954.68/x
  3. Step 3: Cross multiply
    2,342.97x = 3,511.40 × 954.68
  4. Step 4: Simplify right side
    2,342.97x = 3,352,263.35
  5. Step 5: Solve for x
    x = 3,352,263.35/2,342.97
  6. Step 6: Final answer
    x = 1,430.78

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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.