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Finding the Fourth Proportional to 2,881.61, 4,323.02 and 935.18

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Solution

The fourth proportional to 2,881.61, 4,323.02 and 935.18 is: 1,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.61 : 4,323.02 = 935.18 : x
  2. Step 2: Convert to fraction form
    2,881.61/4,323.02 = 935.18/x
  3. Step 3: Cross multiply
    2,881.61x = 4,323.02 × 935.18
  4. Step 4: Simplify right side
    2,881.61x = 4,042,775.55
  5. Step 5: Solve for x
    x = 4,042,775.55/2,881.61
  6. Step 6: Final answer
    x = 1,402.96

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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.