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Finding the Fourth Proportional to 1,987.56, 2,983.14 and 1,868.49

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Solution

The fourth proportional to 1,987.56, 2,983.14 and 1,868.49 is: 2,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.56 : 2,983.14 = 1,868.49 : x
  2. Step 2: Convert to fraction form
    1,987.56/2,983.14 = 1,868.49/x
  3. Step 3: Cross multiply
    1,987.56x = 2,983.14 × 1,868.49
  4. Step 4: Simplify right side
    1,987.56x = 5,573,967.26
  5. Step 5: Solve for x
    x = 5,573,967.26/1,987.56
  6. Step 6: Final answer
    x = 2,804.43

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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.