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Finding the Fourth Proportional to 1,290.08, 1,937.74 and 1,139.42

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Solution

The fourth proportional to 1,290.08, 1,937.74 and 1,139.42 is: 1,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.08 : 1,937.74 = 1,139.42 : x
  2. Step 2: Convert to fraction form
    1,290.08/1,937.74 = 1,139.42/x
  3. Step 3: Cross multiply
    1,290.08x = 1,937.74 × 1,139.42
  4. Step 4: Simplify right side
    1,290.08x = 2,207,899.71
  5. Step 5: Solve for x
    x = 2,207,899.71/1,290.08
  6. Step 6: Final answer
    x = 1,711.44

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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.