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Finding the Fourth Proportional to 2,913.01, 4,020.03 and 1,654.10

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Solution

The fourth proportional to 2,913.01, 4,020.03 and 1,654.10 is: 2,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.01 : 4,020.03 = 1,654.10 : x
  2. Step 2: Convert to fraction form
    2,913.01/4,020.03 = 1,654.10/x
  3. Step 3: Cross multiply
    2,913.01x = 4,020.03 × 1,654.10
  4. Step 4: Simplify right side
    2,913.01x = 6,649,531.62
  5. Step 5: Solve for x
    x = 6,649,531.62/2,913.01
  6. Step 6: Final answer
    x = 2,282.71

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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.