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Finding the Fourth Proportional to 2,897.88, 4,001.10 and 2,224.56

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Solution

The fourth proportional to 2,897.88, 4,001.10 and 2,224.56 is: 3,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.88 : 4,001.10 = 2,224.56 : x
  2. Step 2: Convert to fraction form
    2,897.88/4,001.10 = 2,224.56/x
  3. Step 3: Cross multiply
    2,897.88x = 4,001.10 × 2,224.56
  4. Step 4: Simplify right side
    2,897.88x = 8,900,687.02
  5. Step 5: Solve for x
    x = 8,900,687.02/2,897.88
  6. Step 6: Final answer
    x = 3,071.45

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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.