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Finding the Fourth Proportional to 1,781.22, 2,460.87 and 1,486.38

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Solution

The fourth proportional to 1,781.22, 2,460.87 and 1,486.38 is: 2,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.22 : 2,460.87 = 1,486.38 : x
  2. Step 2: Convert to fraction form
    1,781.22/2,460.87 = 1,486.38/x
  3. Step 3: Cross multiply
    1,781.22x = 2,460.87 × 1,486.38
  4. Step 4: Simplify right side
    1,781.22x = 3,657,787.95
  5. Step 5: Solve for x
    x = 3,657,787.95/1,781.22
  6. Step 6: Final answer
    x = 2,053.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.