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Finding the Fourth Proportional to 2,000.92, 3,002.25 and 1,075.40

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Solution

The fourth proportional to 2,000.92, 3,002.25 and 1,075.40 is: 1,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.92 : 3,002.25 = 1,075.40 : x
  2. Step 2: Convert to fraction form
    2,000.92/3,002.25 = 1,075.40/x
  3. Step 3: Cross multiply
    2,000.92x = 3,002.25 × 1,075.40
  4. Step 4: Simplify right side
    2,000.92x = 3,228,599.26
  5. Step 5: Solve for x
    x = 3,228,599.26/2,000.92
  6. Step 6: Final answer
    x = 1,613.56

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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.