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Finding the Fourth Proportional to 2,770.47, 4,155.71 and 1,040.31

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Solution

The fourth proportional to 2,770.47, 4,155.71 and 1,040.31 is: 1,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.47 : 4,155.71 = 1,040.31 : x
  2. Step 2: Convert to fraction form
    2,770.47/4,155.71 = 1,040.31/x
  3. Step 3: Cross multiply
    2,770.47x = 4,155.71 × 1,040.31
  4. Step 4: Simplify right side
    2,770.47x = 4,323,221.47
  5. Step 5: Solve for x
    x = 4,323,221.47/2,770.47
  6. Step 6: Final answer
    x = 1,560.47

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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.