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Finding the Fourth Proportional to 1,987.65, 2,742.84 and 1,103.40

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Solution

The fourth proportional to 1,987.65, 2,742.84 and 1,103.40 is: 1,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.65 : 2,742.84 = 1,103.40 : x
  2. Step 2: Convert to fraction form
    1,987.65/2,742.84 = 1,103.40/x
  3. Step 3: Cross multiply
    1,987.65x = 2,742.84 × 1,103.40
  4. Step 4: Simplify right side
    1,987.65x = 3,026,449.66
  5. Step 5: Solve for x
    x = 3,026,449.66/1,987.65
  6. Step 6: Final answer
    x = 1,522.63

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