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Finding the Fourth Proportional to 2,784.32, 4,175.50 and 2,001.98

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Solution

The fourth proportional to 2,784.32, 4,175.50 and 2,001.98 is: 3,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.32 : 4,175.50 = 2,001.98 : x
  2. Step 2: Convert to fraction form
    2,784.32/4,175.50 = 2,001.98/x
  3. Step 3: Cross multiply
    2,784.32x = 4,175.50 × 2,001.98
  4. Step 4: Simplify right side
    2,784.32x = 8,359,259.06
  5. Step 5: Solve for x
    x = 8,359,259.06/2,784.32
  6. Step 6: Final answer
    x = 3,002.26

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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.