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Finding the Fourth Proportional to 3,110, 4,291.80 and 1,712.78

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Solution

The fourth proportional to 3,110, 4,291.80 and 1,712.78 is: 2,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110 : 4,291.80 = 1,712.78 : x
  2. Step 2: Convert to fraction form
    3,110/4,291.80 = 1,712.78/x
  3. Step 3: Cross multiply
    3,110x = 4,291.80 × 1,712.78
  4. Step 4: Simplify right side
    3,110x = 7,350,909.20
  5. Step 5: Solve for x
    x = 7,350,909.20/3,110
  6. Step 6: Final answer
    x = 2,363.64

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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.