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Finding the Fourth Proportional to 2,101.60, 3,152.87 and 714.85

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Solution

The fourth proportional to 2,101.60, 3,152.87 and 714.85 is: 1,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.60 : 3,152.87 = 714.85 : x
  2. Step 2: Convert to fraction form
    2,101.60/3,152.87 = 714.85/x
  3. Step 3: Cross multiply
    2,101.60x = 3,152.87 × 714.85
  4. Step 4: Simplify right side
    2,101.60x = 2,253,829.12
  5. Step 5: Solve for x
    x = 2,253,829.12/2,101.60
  6. Step 6: Final answer
    x = 1,072.43

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1.5x scale

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.