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Finding the Fourth Proportional to 2,101.38, 3,152.36 and 714.35

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Solution

The fourth proportional to 2,101.38, 3,152.36 and 714.35 is: 1,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.38 : 3,152.36 = 714.35 : x
  2. Step 2: Convert to fraction form
    2,101.38/3,152.36 = 714.35/x
  3. Step 3: Cross multiply
    2,101.38x = 3,152.36 × 714.35
  4. Step 4: Simplify right side
    2,101.38x = 2,251,869.03
  5. Step 5: Solve for x
    x = 2,251,869.03/2,101.38
  6. Step 6: Final answer
    x = 1,071.61

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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.