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Finding the Fourth Proportional to 1,988.64, 2,988 and 1,258.56

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Solution

The fourth proportional to 1,988.64, 2,988 and 1,258.56 is: 1,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.64 : 2,988 = 1,258.56 : x
  2. Step 2: Convert to fraction form
    1,988.64/2,988 = 1,258.56/x
  3. Step 3: Cross multiply
    1,988.64x = 2,988 × 1,258.56
  4. Step 4: Simplify right side
    1,988.64x = 3,760,577.28
  5. Step 5: Solve for x
    x = 3,760,577.28/1,988.64
  6. Step 6: Final answer
    x = 1,891.03

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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.