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Finding the Fourth Proportional to 2,023.64, 3,035.96 and 853.74

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Solution

The fourth proportional to 2,023.64, 3,035.96 and 853.74 is: 1,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.64 : 3,035.96 = 853.74 : x
  2. Step 2: Convert to fraction form
    2,023.64/3,035.96 = 853.74/x
  3. Step 3: Cross multiply
    2,023.64x = 3,035.96 × 853.74
  4. Step 4: Simplify right side
    2,023.64x = 2,591,920.49
  5. Step 5: Solve for x
    x = 2,591,920.49/2,023.64
  6. Step 6: Final answer
    x = 1,280.82

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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.