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Finding the Fourth Proportional to 1,287.39, 1,917.92 and 1,225.47

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Solution

The fourth proportional to 1,287.39, 1,917.92 and 1,225.47 is: 1,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.39 : 1,917.92 = 1,225.47 : x
  2. Step 2: Convert to fraction form
    1,287.39/1,917.92 = 1,225.47/x
  3. Step 3: Cross multiply
    1,287.39x = 1,917.92 × 1,225.47
  4. Step 4: Simplify right side
    1,287.39x = 2,350,347.30
  5. Step 5: Solve for x
    x = 2,350,347.30/1,287.39
  6. Step 6: Final answer
    x = 1,825.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.