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Finding the Fourth Proportional to 3,108.90, 4,290.14 and 1,711.65

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Solution

The fourth proportional to 3,108.90, 4,290.14 and 1,711.65 is: 2,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.90 : 4,290.14 = 1,711.65 : x
  2. Step 2: Convert to fraction form
    3,108.90/4,290.14 = 1,711.65/x
  3. Step 3: Cross multiply
    3,108.90x = 4,290.14 × 1,711.65
  4. Step 4: Simplify right side
    3,108.90x = 7,343,209.57
  5. Step 5: Solve for x
    x = 7,343,209.57/3,108.90
  6. Step 6: Final answer
    x = 2,362.00

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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.