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Finding the Fourth Proportional to 1,362.38, 2,047.01 and 869.02

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Solution

The fourth proportional to 1,362.38, 2,047.01 and 869.02 is: 1,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.38 : 2,047.01 = 869.02 : x
  2. Step 2: Convert to fraction form
    1,362.38/2,047.01 = 869.02/x
  3. Step 3: Cross multiply
    1,362.38x = 2,047.01 × 869.02
  4. Step 4: Simplify right side
    1,362.38x = 1,778,889.69
  5. Step 5: Solve for x
    x = 1,778,889.69/1,362.38
  6. Step 6: Final answer
    x = 1,305.72

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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.