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Finding the Fourth Proportional to 2,748.04, 4,118.41 and 2,381.11

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Solution

The fourth proportional to 2,748.04, 4,118.41 and 2,381.11 is: 3,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.04 : 4,118.41 = 2,381.11 : x
  2. Step 2: Convert to fraction form
    2,748.04/4,118.41 = 2,381.11/x
  3. Step 3: Cross multiply
    2,748.04x = 4,118.41 × 2,381.11
  4. Step 4: Simplify right side
    2,748.04x = 9,806,387.24
  5. Step 5: Solve for x
    x = 9,806,387.24/2,748.04
  6. Step 6: Final answer
    x = 3,568.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.