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Finding the Fourth Proportional to 2,101.85, 3,154.71 and 1,062.57

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Solution

The fourth proportional to 2,101.85, 3,154.71 and 1,062.57 is: 1,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.85 : 3,154.71 = 1,062.57 : x
  2. Step 2: Convert to fraction form
    2,101.85/3,154.71 = 1,062.57/x
  3. Step 3: Cross multiply
    2,101.85x = 3,154.71 × 1,062.57
  4. Step 4: Simplify right side
    2,101.85x = 3,352,100.20
  5. Step 5: Solve for x
    x = 3,352,100.20/2,101.85
  6. Step 6: Final answer
    x = 1,594.84

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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.