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Finding the Fourth Proportional to 2,290.68, 3,433.20 and 1,056.42

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Solution

The fourth proportional to 2,290.68, 3,433.20 and 1,056.42 is: 1,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.68 : 3,433.20 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    2,290.68/3,433.20 = 1,056.42/x
  3. Step 3: Cross multiply
    2,290.68x = 3,433.20 × 1,056.42
  4. Step 4: Simplify right side
    2,290.68x = 3,626,901.14
  5. Step 5: Solve for x
    x = 3,626,901.14/2,290.68
  6. Step 6: Final answer
    x = 1,583.33

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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.