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Finding the Fourth Proportional to 2,714.02, 3,747.03 and 2,083.34

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Solution

The fourth proportional to 2,714.02, 3,747.03 and 2,083.34 is: 2,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.02 : 3,747.03 = 2,083.34 : x
  2. Step 2: Convert to fraction form
    2,714.02/3,747.03 = 2,083.34/x
  3. Step 3: Cross multiply
    2,714.02x = 3,747.03 × 2,083.34
  4. Step 4: Simplify right side
    2,714.02x = 7,806,337.48
  5. Step 5: Solve for x
    x = 7,806,337.48/2,714.02
  6. Step 6: Final answer
    x = 2,876.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.