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Finding the Fourth Proportional to 2,077.65, 3,115.53 and 779.40

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Solution

The fourth proportional to 2,077.65, 3,115.53 and 779.40 is: 1,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.65 : 3,115.53 = 779.40 : x
  2. Step 2: Convert to fraction form
    2,077.65/3,115.53 = 779.40/x
  3. Step 3: Cross multiply
    2,077.65x = 3,115.53 × 779.40
  4. Step 4: Simplify right side
    2,077.65x = 2,428,244.08
  5. Step 5: Solve for x
    x = 2,428,244.08/2,077.65
  6. Step 6: Final answer
    x = 1,168.75

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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.