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Finding the Fourth Proportional to 2,407.70, 3,612.24 and 1,175.12

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Solution

The fourth proportional to 2,407.70, 3,612.24 and 1,175.12 is: 1,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.70 : 3,612.24 = 1,175.12 : x
  2. Step 2: Convert to fraction form
    2,407.70/3,612.24 = 1,175.12/x
  3. Step 3: Cross multiply
    2,407.70x = 3,612.24 × 1,175.12
  4. Step 4: Simplify right side
    2,407.70x = 4,244,815.47
  5. Step 5: Solve for x
    x = 4,244,815.47/2,407.70
  6. Step 6: Final answer
    x = 1,763.02

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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.