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Finding the Fourth Proportional to 3,319.01, 4,978.58 and 853.85

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Solution

The fourth proportional to 3,319.01, 4,978.58 and 853.85 is: 1,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.01 : 4,978.58 = 853.85 : x
  2. Step 2: Convert to fraction form
    3,319.01/4,978.58 = 853.85/x
  3. Step 3: Cross multiply
    3,319.01x = 4,978.58 × 853.85
  4. Step 4: Simplify right side
    3,319.01x = 4,250,931.37
  5. Step 5: Solve for x
    x = 4,250,931.37/3,319.01
  6. Step 6: Final answer
    x = 1,280.78

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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.