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Finding the Fourth Proportional to 1,781.24, 2,670.74 and 807.80

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Solution

The fourth proportional to 1,781.24, 2,670.74 and 807.80 is: 1,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.24 : 2,670.74 = 807.80 : x
  2. Step 2: Convert to fraction form
    1,781.24/2,670.74 = 807.80/x
  3. Step 3: Cross multiply
    1,781.24x = 2,670.74 × 807.80
  4. Step 4: Simplify right side
    1,781.24x = 2,157,423.77
  5. Step 5: Solve for x
    x = 2,157,423.77/1,781.24
  6. Step 6: Final answer
    x = 1,211.19

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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.