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Finding the Fourth Proportional to 2,407.19, 3,612.22 and 1,039.19

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Solution

The fourth proportional to 2,407.19, 3,612.22 and 1,039.19 is: 1,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.19 : 3,612.22 = 1,039.19 : x
  2. Step 2: Convert to fraction form
    2,407.19/3,612.22 = 1,039.19/x
  3. Step 3: Cross multiply
    2,407.19x = 3,612.22 × 1,039.19
  4. Step 4: Simplify right side
    2,407.19x = 3,753,782.90
  5. Step 5: Solve for x
    x = 3,753,782.90/2,407.19
  6. Step 6: Final answer
    x = 1,559.40

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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.