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Finding the Fourth Proportional to 1,867.30, 2,799.60 and 771.10

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Solution

The fourth proportional to 1,867.30, 2,799.60 and 771.10 is: 1,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.30 : 2,799.60 = 771.10 : x
  2. Step 2: Convert to fraction form
    1,867.30/2,799.60 = 771.10/x
  3. Step 3: Cross multiply
    1,867.30x = 2,799.60 × 771.10
  4. Step 4: Simplify right side
    1,867.30x = 2,158,771.56
  5. Step 5: Solve for x
    x = 2,158,771.56/1,867.30
  6. Step 6: Final answer
    x = 1,156.09

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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.