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Finding the Fourth Proportional to 1,537.68, 2,310.66 and 807.78

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Solution

The fourth proportional to 1,537.68, 2,310.66 and 807.78 is: 1,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.68 : 2,310.66 = 807.78 : x
  2. Step 2: Convert to fraction form
    1,537.68/2,310.66 = 807.78/x
  3. Step 3: Cross multiply
    1,537.68x = 2,310.66 × 807.78
  4. Step 4: Simplify right side
    1,537.68x = 1,866,504.93
  5. Step 5: Solve for x
    x = 1,866,504.93/1,537.68
  6. Step 6: Final answer
    x = 1,213.84

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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.