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Finding the Fourth Proportional to 2,511.64, 3,767.46 and 780.13

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Solution

The fourth proportional to 2,511.64, 3,767.46 and 780.13 is: 1,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.64 : 3,767.46 = 780.13 : x
  2. Step 2: Convert to fraction form
    2,511.64/3,767.46 = 780.13/x
  3. Step 3: Cross multiply
    2,511.64x = 3,767.46 × 780.13
  4. Step 4: Simplify right side
    2,511.64x = 2,939,108.57
  5. Step 5: Solve for x
    x = 2,939,108.57/2,511.64
  6. Step 6: Final answer
    x = 1,170.20

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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.