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Finding the Fourth Proportional to 2,002.35, 2,999.55 and 1,567.47

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Solution

The fourth proportional to 2,002.35, 2,999.55 and 1,567.47 is: 2,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.35 : 2,999.55 = 1,567.47 : x
  2. Step 2: Convert to fraction form
    2,002.35/2,999.55 = 1,567.47/x
  3. Step 3: Cross multiply
    2,002.35x = 2,999.55 × 1,567.47
  4. Step 4: Simplify right side
    2,002.35x = 4,701,696.80
  5. Step 5: Solve for x
    x = 4,701,696.80/2,002.35
  6. Step 6: Final answer
    x = 2,348.09

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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.