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Finding the Fourth Proportional to 2,975.04, 4,468.02 and 2,001.84

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Solution

The fourth proportional to 2,975.04, 4,468.02 and 2,001.84 is: 3,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.04 : 4,468.02 = 2,001.84 : x
  2. Step 2: Convert to fraction form
    2,975.04/4,468.02 = 2,001.84/x
  3. Step 3: Cross multiply
    2,975.04x = 4,468.02 × 2,001.84
  4. Step 4: Simplify right side
    2,975.04x = 8,944,261.16
  5. Step 5: Solve for x
    x = 8,944,261.16/2,975.04
  6. Step 6: Final answer
    x = 3,006.43

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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.