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Finding the Fourth Proportional to 3,164.84, 4,366.14 and 2,117.24

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Solution

The fourth proportional to 3,164.84, 4,366.14 and 2,117.24 is: 2,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.84 : 4,366.14 = 2,117.24 : x
  2. Step 2: Convert to fraction form
    3,164.84/4,366.14 = 2,117.24/x
  3. Step 3: Cross multiply
    3,164.84x = 4,366.14 × 2,117.24
  4. Step 4: Simplify right side
    3,164.84x = 9,244,166.25
  5. Step 5: Solve for x
    x = 9,244,166.25/3,164.84
  6. Step 6: Final answer
    x = 2,920.90

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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.