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Finding the Fourth Proportional to 1,365.20, 1,881.92 and 1,177.84

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Solution

The fourth proportional to 1,365.20, 1,881.92 and 1,177.84 is: 1,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.20 : 1,881.92 = 1,177.84 : x
  2. Step 2: Convert to fraction form
    1,365.20/1,881.92 = 1,177.84/x
  3. Step 3: Cross multiply
    1,365.20x = 1,881.92 × 1,177.84
  4. Step 4: Simplify right side
    1,365.20x = 2,216,600.65
  5. Step 5: Solve for x
    x = 2,216,600.65/1,365.20
  6. Step 6: Final answer
    x = 1,623.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.