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Finding the Fourth Proportional to 2,734.85, 4,098.44 and 1,563.10

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Solution

The fourth proportional to 2,734.85, 4,098.44 and 1,563.10 is: 2,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.85 : 4,098.44 = 1,563.10 : x
  2. Step 2: Convert to fraction form
    2,734.85/4,098.44 = 1,563.10/x
  3. Step 3: Cross multiply
    2,734.85x = 4,098.44 × 1,563.10
  4. Step 4: Simplify right side
    2,734.85x = 6,406,253.50
  5. Step 5: Solve for x
    x = 6,406,253.50/2,734.85
  6. Step 6: Final answer
    x = 2,342.45

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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.