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Finding the Fourth Proportional to 1,742.80, 2,610.96 and 1,455.52

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Solution

The fourth proportional to 1,742.80, 2,610.96 and 1,455.52 is: 2,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.80 : 2,610.96 = 1,455.52 : x
  2. Step 2: Convert to fraction form
    1,742.80/2,610.96 = 1,455.52/x
  3. Step 3: Cross multiply
    1,742.80x = 2,610.96 × 1,455.52
  4. Step 4: Simplify right side
    1,742.80x = 3,800,304.50
  5. Step 5: Solve for x
    x = 3,800,304.50/1,742.80
  6. Step 6: Final answer
    x = 2,180.57

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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.