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Finding the Fourth Proportional to 2,697.57, 4,044.45 and 942.18

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Solution

The fourth proportional to 2,697.57, 4,044.45 and 942.18 is: 1,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.57 : 4,044.45 = 942.18 : x
  2. Step 2: Convert to fraction form
    2,697.57/4,044.45 = 942.18/x
  3. Step 3: Cross multiply
    2,697.57x = 4,044.45 × 942.18
  4. Step 4: Simplify right side
    2,697.57x = 3,810,599.90
  5. Step 5: Solve for x
    x = 3,810,599.90/2,697.57
  6. Step 6: Final answer
    x = 1,412.60

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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.