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Finding the Fourth Proportional to 2,143.76, 3,191.74 and 2,117.84

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Solution

The fourth proportional to 2,143.76, 3,191.74 and 2,117.84 is: 3,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.76 : 3,191.74 = 2,117.84 : x
  2. Step 2: Convert to fraction form
    2,143.76/3,191.74 = 2,117.84/x
  3. Step 3: Cross multiply
    2,143.76x = 3,191.74 × 2,117.84
  4. Step 4: Simplify right side
    2,143.76x = 6,759,594.64
  5. Step 5: Solve for x
    x = 6,759,594.64/2,143.76
  6. Step 6: Final answer
    x = 3,153.15

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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.