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Finding the Fourth Proportional to 1,740.64, 2,610.96 and 1,468.48

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Solution

The fourth proportional to 1,740.64, 2,610.96 and 1,468.48 is: 2,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.64 : 2,610.96 = 1,468.48 : x
  2. Step 2: Convert to fraction form
    1,740.64/2,610.96 = 1,468.48/x
  3. Step 3: Cross multiply
    1,740.64x = 2,610.96 × 1,468.48
  4. Step 4: Simplify right side
    1,740.64x = 3,834,142.54
  5. Step 5: Solve for x
    x = 3,834,142.54/1,740.64
  6. Step 6: Final answer
    x = 2,202.72

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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.