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Finding the Fourth Proportional to 2,740.80, 4,110.80 and 1,353.78

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Solution

The fourth proportional to 2,740.80, 4,110.80 and 1,353.78 is: 2,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.80 : 4,110.80 = 1,353.78 : x
  2. Step 2: Convert to fraction form
    2,740.80/4,110.80 = 1,353.78/x
  3. Step 3: Cross multiply
    2,740.80x = 4,110.80 × 1,353.78
  4. Step 4: Simplify right side
    2,740.80x = 5,565,118.82
  5. Step 5: Solve for x
    x = 5,565,118.82/2,740.80
  6. Step 6: Final answer
    x = 2,030.47

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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.