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Finding the Fourth Proportional to 2,339.24, 3,508.32 and 1,040

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Solution

The fourth proportional to 2,339.24, 3,508.32 and 1,040 is: 1,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.24 : 3,508.32 = 1,040 : x
  2. Step 2: Convert to fraction form
    2,339.24/3,508.32 = 1,040/x
  3. Step 3: Cross multiply
    2,339.24x = 3,508.32 × 1,040
  4. Step 4: Simplify right side
    2,339.24x = 3,648,652.80
  5. Step 5: Solve for x
    x = 3,648,652.80/2,339.24
  6. Step 6: Final answer
    x = 1,559.76

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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.