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Finding the Fourth Proportional to 2,417.12, 3,622.88 and 1,115.88

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Solution

The fourth proportional to 2,417.12, 3,622.88 and 1,115.88 is: 1,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.12 : 3,622.88 = 1,115.88 : x
  2. Step 2: Convert to fraction form
    2,417.12/3,622.88 = 1,115.88/x
  3. Step 3: Cross multiply
    2,417.12x = 3,622.88 × 1,115.88
  4. Step 4: Simplify right side
    2,417.12x = 4,042,699.33
  5. Step 5: Solve for x
    x = 4,042,699.33/2,417.12
  6. Step 6: Final answer
    x = 1,672.53

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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.