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Finding the Fourth Proportional to 2,419.59, 3,627.96 and 1,032.22

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Solution

The fourth proportional to 2,419.59, 3,627.96 and 1,032.22 is: 1,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.59 : 3,627.96 = 1,032.22 : x
  2. Step 2: Convert to fraction form
    2,419.59/3,627.96 = 1,032.22/x
  3. Step 3: Cross multiply
    2,419.59x = 3,627.96 × 1,032.22
  4. Step 4: Simplify right side
    2,419.59x = 3,744,853.54
  5. Step 5: Solve for x
    x = 3,744,853.54/2,419.59
  6. Step 6: Final answer
    x = 1,547.72

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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.