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Finding the Fourth Proportional to 2,002.68, 3,004.14 and 616.05

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Solution

The fourth proportional to 2,002.68, 3,004.14 and 616.05 is: 924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.68 : 3,004.14 = 616.05 : x
  2. Step 2: Convert to fraction form
    2,002.68/3,004.14 = 616.05/x
  3. Step 3: Cross multiply
    2,002.68x = 3,004.14 × 616.05
  4. Step 4: Simplify right side
    2,002.68x = 1,850,700.45
  5. Step 5: Solve for x
    x = 1,850,700.45/2,002.68
  6. Step 6: Final answer
    x = 924.11

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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.