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Finding the Fourth Proportional to 1,865.73, 2,577.34 and 1,767.32

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Solution

The fourth proportional to 1,865.73, 2,577.34 and 1,767.32 is: 2,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.73 : 2,577.34 = 1,767.32 : x
  2. Step 2: Convert to fraction form
    1,865.73/2,577.34 = 1,767.32/x
  3. Step 3: Cross multiply
    1,865.73x = 2,577.34 × 1,767.32
  4. Step 4: Simplify right side
    1,865.73x = 4,554,984.53
  5. Step 5: Solve for x
    x = 4,554,984.53/1,865.73
  6. Step 6: Final answer
    x = 2,441.40

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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.