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Finding the Fourth Proportional to 3,182.27, 4,773.40 and 991.00

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Solution

The fourth proportional to 3,182.27, 4,773.40 and 991.00 is: 1,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.27 : 4,773.40 = 991.00 : x
  2. Step 2: Convert to fraction form
    3,182.27/4,773.40 = 991.00/x
  3. Step 3: Cross multiply
    3,182.27x = 4,773.40 × 991.00
  4. Step 4: Simplify right side
    3,182.27x = 4,730,428.71
  5. Step 5: Solve for x
    x = 4,730,428.71/3,182.27
  6. Step 6: Final answer
    x = 1,486.50

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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.