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Finding the Fourth Proportional to 2,521.62, 3,478.12 and 2,312.49

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Solution

The fourth proportional to 2,521.62, 3,478.12 and 2,312.49 is: 3,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.62 : 3,478.12 = 2,312.49 : x
  2. Step 2: Convert to fraction form
    2,521.62/3,478.12 = 2,312.49/x
  3. Step 3: Cross multiply
    2,521.62x = 3,478.12 × 2,312.49
  4. Step 4: Simplify right side
    2,521.62x = 8,043,117.72
  5. Step 5: Solve for x
    x = 8,043,117.72/2,521.62
  6. Step 6: Final answer
    x = 3,189.66

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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.