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Finding the Fourth Proportional to 2,245.96, 3,367.47 and 1,075.92

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Solution

The fourth proportional to 2,245.96, 3,367.47 and 1,075.92 is: 1,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.96 : 3,367.47 = 1,075.92 : x
  2. Step 2: Convert to fraction form
    2,245.96/3,367.47 = 1,075.92/x
  3. Step 3: Cross multiply
    2,245.96x = 3,367.47 × 1,075.92
  4. Step 4: Simplify right side
    2,245.96x = 3,623,132.62
  5. Step 5: Solve for x
    x = 3,623,132.62/2,245.96
  6. Step 6: Final answer
    x = 1,613.18

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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.