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Finding the Fourth Proportional to 2,101.49, 3,152.23 and 714.97

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Solution

The fourth proportional to 2,101.49, 3,152.23 and 714.97 is: 1,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.49 : 3,152.23 = 714.97 : x
  2. Step 2: Convert to fraction form
    2,101.49/3,152.23 = 714.97/x
  3. Step 3: Cross multiply
    2,101.49x = 3,152.23 × 714.97
  4. Step 4: Simplify right side
    2,101.49x = 2,253,740.22
  5. Step 5: Solve for x
    x = 2,253,740.22/2,101.49
  6. Step 6: Final answer
    x = 1,072.45

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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.