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Finding the Fourth Proportional to 2,982.71, 4,472.29 and 1,133.95

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Solution

The fourth proportional to 2,982.71, 4,472.29 and 1,133.95 is: 1,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.71 : 4,472.29 = 1,133.95 : x
  2. Step 2: Convert to fraction form
    2,982.71/4,472.29 = 1,133.95/x
  3. Step 3: Cross multiply
    2,982.71x = 4,472.29 × 1,133.95
  4. Step 4: Simplify right side
    2,982.71x = 5,071,353.25
  5. Step 5: Solve for x
    x = 5,071,353.25/2,982.71
  6. Step 6: Final answer
    x = 1,700.25

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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.