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Finding the Fourth Proportional to 1,867.35, 2,798.96 and 771.11

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Solution

The fourth proportional to 1,867.35, 2,798.96 and 771.11 is: 1,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.35 : 2,798.96 = 771.11 : x
  2. Step 2: Convert to fraction form
    1,867.35/2,798.96 = 771.11/x
  3. Step 3: Cross multiply
    1,867.35x = 2,798.96 × 771.11
  4. Step 4: Simplify right side
    1,867.35x = 2,158,306.05
  5. Step 5: Solve for x
    x = 2,158,306.05/1,867.35
  6. Step 6: Final answer
    x = 1,155.81

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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.