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Finding the Fourth Proportional to 3,041.59, 4,564.47 and 2,002.09

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Solution

The fourth proportional to 3,041.59, 4,564.47 and 2,002.09 is: 3,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.59 : 4,564.47 = 2,002.09 : x
  2. Step 2: Convert to fraction form
    3,041.59/4,564.47 = 2,002.09/x
  3. Step 3: Cross multiply
    3,041.59x = 4,564.47 × 2,002.09
  4. Step 4: Simplify right side
    3,041.59x = 9,138,479.74
  5. Step 5: Solve for x
    x = 9,138,479.74/3,041.59
  6. Step 6: Final answer
    x = 3,004.51

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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.