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Finding the Fourth Proportional to 1,293.05, 1,937.13 and 1,147.25

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Solution

The fourth proportional to 1,293.05, 1,937.13 and 1,147.25 is: 1,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.05 : 1,937.13 = 1,147.25 : x
  2. Step 2: Convert to fraction form
    1,293.05/1,937.13 = 1,147.25/x
  3. Step 3: Cross multiply
    1,293.05x = 1,937.13 × 1,147.25
  4. Step 4: Simplify right side
    1,293.05x = 2,222,362.71
  5. Step 5: Solve for x
    x = 2,222,362.71/1,293.05
  6. Step 6: Final answer
    x = 1,718.70

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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.