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Finding the Fourth Proportional to 2,155.92, 3,214.50 and 2,117.04

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Solution

The fourth proportional to 2,155.92, 3,214.50 and 2,117.04 is: 3,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.92 : 3,214.50 = 2,117.04 : x
  2. Step 2: Convert to fraction form
    2,155.92/3,214.50 = 2,117.04/x
  3. Step 3: Cross multiply
    2,155.92x = 3,214.50 × 2,117.04
  4. Step 4: Simplify right side
    2,155.92x = 6,805,225.08
  5. Step 5: Solve for x
    x = 6,805,225.08/2,155.92
  6. Step 6: Final answer
    x = 3,156.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.