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Finding the Fourth Proportional to 1,147.62, 1,718.73 and 1,120.08

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Solution

The fourth proportional to 1,147.62, 1,718.73 and 1,120.08 is: 1,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.62 : 1,718.73 = 1,120.08 : x
  2. Step 2: Convert to fraction form
    1,147.62/1,718.73 = 1,120.08/x
  3. Step 3: Cross multiply
    1,147.62x = 1,718.73 × 1,120.08
  4. Step 4: Simplify right side
    1,147.62x = 1,925,115.10
  5. Step 5: Solve for x
    x = 1,925,115.10/1,147.62
  6. Step 6: Final answer
    x = 1,677.48

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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.