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Finding the Fourth Proportional to 1,333.65, 2,002.23 and 1,139.88

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Solution

The fourth proportional to 1,333.65, 2,002.23 and 1,139.88 is: 1,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.65 : 2,002.23 = 1,139.88 : x
  2. Step 2: Convert to fraction form
    1,333.65/2,002.23 = 1,139.88/x
  3. Step 3: Cross multiply
    1,333.65x = 2,002.23 × 1,139.88
  4. Step 4: Simplify right side
    1,333.65x = 2,282,301.93
  5. Step 5: Solve for x
    x = 2,282,301.93/1,333.65
  6. Step 6: Final answer
    x = 1,711.32

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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.