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Finding the Fourth Proportional to 1,777.76, 2,454.36 and 1,281.68

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Solution

The fourth proportional to 1,777.76, 2,454.36 and 1,281.68 is: 1,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.76 : 2,454.36 = 1,281.68 : x
  2. Step 2: Convert to fraction form
    1,777.76/2,454.36 = 1,281.68/x
  3. Step 3: Cross multiply
    1,777.76x = 2,454.36 × 1,281.68
  4. Step 4: Simplify right side
    1,777.76x = 3,145,704.12
  5. Step 5: Solve for x
    x = 3,145,704.12/1,777.76
  6. Step 6: Final answer
    x = 1,769.48

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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.