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Finding the Fourth Proportional to 1,781.88, 2,672.80 and 807.32

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Solution

The fourth proportional to 1,781.88, 2,672.80 and 807.32 is: 1,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.88 : 2,672.80 = 807.32 : x
  2. Step 2: Convert to fraction form
    1,781.88/2,672.80 = 807.32/x
  3. Step 3: Cross multiply
    1,781.88x = 2,672.80 × 807.32
  4. Step 4: Simplify right side
    1,781.88x = 2,157,804.90
  5. Step 5: Solve for x
    x = 2,157,804.90/1,781.88
  6. Step 6: Final answer
    x = 1,210.97

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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.