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Finding the Fourth Proportional to 3,002.65, 4,498 and 2,350.33

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Solution

The fourth proportional to 3,002.65, 4,498 and 2,350.33 is: 3,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.65 : 4,498 = 2,350.33 : x
  2. Step 2: Convert to fraction form
    3,002.65/4,498 = 2,350.33/x
  3. Step 3: Cross multiply
    3,002.65x = 4,498 × 2,350.33
  4. Step 4: Simplify right side
    3,002.65x = 10,571,784.34
  5. Step 5: Solve for x
    x = 10,571,784.34/3,002.65
  6. Step 6: Final answer
    x = 3,520.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.