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Finding the Fourth Proportional to 2,013.12, 3,019.77 and 780.57

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Solution

The fourth proportional to 2,013.12, 3,019.77 and 780.57 is: 1,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.12 : 3,019.77 = 780.57 : x
  2. Step 2: Convert to fraction form
    2,013.12/3,019.77 = 780.57/x
  3. Step 3: Cross multiply
    2,013.12x = 3,019.77 × 780.57
  4. Step 4: Simplify right side
    2,013.12x = 2,357,141.87
  5. Step 5: Solve for x
    x = 2,357,141.87/2,013.12
  6. Step 6: Final answer
    x = 1,170.89

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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.