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Finding the Fourth Proportional to 2,117.61, 3,171.78 and 1,019.66

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Solution

The fourth proportional to 2,117.61, 3,171.78 and 1,019.66 is: 1,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.61 : 3,171.78 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    2,117.61/3,171.78 = 1,019.66/x
  3. Step 3: Cross multiply
    2,117.61x = 3,171.78 × 1,019.66
  4. Step 4: Simplify right side
    2,117.61x = 3,234,121.34
  5. Step 5: Solve for x
    x = 3,234,121.34/2,117.61
  6. Step 6: Final answer
    x = 1,527.25

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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.