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Finding the Fourth Proportional to 2,404.80, 3,607.20 and 2,052.46

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Solution

The fourth proportional to 2,404.80, 3,607.20 and 2,052.46 is: 3,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.80 : 3,607.20 = 2,052.46 : x
  2. Step 2: Convert to fraction form
    2,404.80/3,607.20 = 2,052.46/x
  3. Step 3: Cross multiply
    2,404.80x = 3,607.20 × 2,052.46
  4. Step 4: Simplify right side
    2,404.80x = 7,403,633.71
  5. Step 5: Solve for x
    x = 7,403,633.71/2,404.80
  6. Step 6: Final answer
    x = 3,078.69

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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.