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Finding the Fourth Proportional to 4,164.71, 6,248.42 and 1,243.04

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Solution

The fourth proportional to 4,164.71, 6,248.42 and 1,243.04 is: 1,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.71 : 6,248.42 = 1,243.04 : x
  2. Step 2: Convert to fraction form
    4,164.71/6,248.42 = 1,243.04/x
  3. Step 3: Cross multiply
    4,164.71x = 6,248.42 × 1,243.04
  4. Step 4: Simplify right side
    4,164.71x = 7,767,036.00
  5. Step 5: Solve for x
    x = 7,767,036.00/4,164.71
  6. Step 6: Final answer
    x = 1,864.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.