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Finding the Fourth Proportional to 2,312.12, 3,469.80 and 1,881.20

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Solution

The fourth proportional to 2,312.12, 3,469.80 and 1,881.20 is: 2,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.12 : 3,469.80 = 1,881.20 : x
  2. Step 2: Convert to fraction form
    2,312.12/3,469.80 = 1,881.20/x
  3. Step 3: Cross multiply
    2,312.12x = 3,469.80 × 1,881.20
  4. Step 4: Simplify right side
    2,312.12x = 6,527,387.76
  5. Step 5: Solve for x
    x = 6,527,387.76/2,312.12
  6. Step 6: Final answer
    x = 2,823.12

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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.