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Finding the Fourth Proportional to 1,987.07, 2,742.20 and 1,200.66

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Solution

The fourth proportional to 1,987.07, 2,742.20 and 1,200.66 is: 1,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.07 : 2,742.20 = 1,200.66 : x
  2. Step 2: Convert to fraction form
    1,987.07/2,742.20 = 1,200.66/x
  3. Step 3: Cross multiply
    1,987.07x = 2,742.20 × 1,200.66
  4. Step 4: Simplify right side
    1,987.07x = 3,292,444.82
  5. Step 5: Solve for x
    x = 3,292,444.82/1,987.07
  6. Step 6: Final answer
    x = 1,656.94

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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.