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Finding the Fourth Proportional to 1,923.76, 2,655 and 1,177.84

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Solution

The fourth proportional to 1,923.76, 2,655 and 1,177.84 is: 1,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.76 : 2,655 = 1,177.84 : x
  2. Step 2: Convert to fraction form
    1,923.76/2,655 = 1,177.84/x
  3. Step 3: Cross multiply
    1,923.76x = 2,655 × 1,177.84
  4. Step 4: Simplify right side
    1,923.76x = 3,127,165.20
  5. Step 5: Solve for x
    x = 3,127,165.20/1,923.76
  6. Step 6: Final answer
    x = 1,625.55

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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.