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Finding the Fourth Proportional to 1,577.80, 2,175.66 and 987.64

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Solution

The fourth proportional to 1,577.80, 2,175.66 and 987.64 is: 1,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.80 : 2,175.66 = 987.64 : x
  2. Step 2: Convert to fraction form
    1,577.80/2,175.66 = 987.64/x
  3. Step 3: Cross multiply
    1,577.80x = 2,175.66 × 987.64
  4. Step 4: Simplify right side
    1,577.80x = 2,148,768.84
  5. Step 5: Solve for x
    x = 2,148,768.84/1,577.80
  6. Step 6: Final answer
    x = 1,361.88

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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.