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Finding the Fourth Proportional to 2,117.98, 3,176.97 and 2,069.38

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Solution

The fourth proportional to 2,117.98, 3,176.97 and 2,069.38 is: 3,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.98 : 3,176.97 = 2,069.38 : x
  2. Step 2: Convert to fraction form
    2,117.98/3,176.97 = 2,069.38/x
  3. Step 3: Cross multiply
    2,117.98x = 3,176.97 × 2,069.38
  4. Step 4: Simplify right side
    2,117.98x = 6,574,358.18
  5. Step 5: Solve for x
    x = 6,574,358.18/2,117.98
  6. Step 6: Final answer
    x = 3,104.07

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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.