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Finding the Fourth Proportional to 1,392.79, 2,089.19 and 1,177.87

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Solution

The fourth proportional to 1,392.79, 2,089.19 and 1,177.87 is: 1,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.79 : 2,089.19 = 1,177.87 : x
  2. Step 2: Convert to fraction form
    1,392.79/2,089.19 = 1,177.87/x
  3. Step 3: Cross multiply
    1,392.79x = 2,089.19 × 1,177.87
  4. Step 4: Simplify right side
    1,392.79x = 2,460,794.23
  5. Step 5: Solve for x
    x = 2,460,794.23/1,392.79
  6. Step 6: Final answer
    x = 1,766.81

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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.