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Finding the Fourth Proportional to 2,742.27, 4,114.53 and 987.51

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Solution

The fourth proportional to 2,742.27, 4,114.53 and 987.51 is: 1,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.27 : 4,114.53 = 987.51 : x
  2. Step 2: Convert to fraction form
    2,742.27/4,114.53 = 987.51/x
  3. Step 3: Cross multiply
    2,742.27x = 4,114.53 × 987.51
  4. Step 4: Simplify right side
    2,742.27x = 4,063,139.52
  5. Step 5: Solve for x
    x = 4,063,139.52/2,742.27
  6. Step 6: Final answer
    x = 1,481.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.