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Finding the Fourth Proportional to 2,685.24, 4,023 and 2,404.98

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Solution

The fourth proportional to 2,685.24, 4,023 and 2,404.98 is: 3,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.24 : 4,023 = 2,404.98 : x
  2. Step 2: Convert to fraction form
    2,685.24/4,023 = 2,404.98/x
  3. Step 3: Cross multiply
    2,685.24x = 4,023 × 2,404.98
  4. Step 4: Simplify right side
    2,685.24x = 9,675,234.54
  5. Step 5: Solve for x
    x = 9,675,234.54/2,685.24
  6. Step 6: Final answer
    x = 3,603.12

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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.