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Finding the Fourth Proportional to 2,493.16, 3,440.84 and 1,871.08

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Solution

The fourth proportional to 2,493.16, 3,440.84 and 1,871.08 is: 2,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.16 : 3,440.84 = 1,871.08 : x
  2. Step 2: Convert to fraction form
    2,493.16/3,440.84 = 1,871.08/x
  3. Step 3: Cross multiply
    2,493.16x = 3,440.84 × 1,871.08
  4. Step 4: Simplify right side
    2,493.16x = 6,438,086.91
  5. Step 5: Solve for x
    x = 6,438,086.91/2,493.16
  6. Step 6: Final answer
    x = 2,582.30

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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.