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Finding the Fourth Proportional to 2,290.14, 3,433.93 and 729.88

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Solution

The fourth proportional to 2,290.14, 3,433.93 and 729.88 is: 1,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.14 : 3,433.93 = 729.88 : x
  2. Step 2: Convert to fraction form
    2,290.14/3,433.93 = 729.88/x
  3. Step 3: Cross multiply
    2,290.14x = 3,433.93 × 729.88
  4. Step 4: Simplify right side
    2,290.14x = 2,506,346.42
  5. Step 5: Solve for x
    x = 2,506,346.42/2,290.14
  6. Step 6: Final answer
    x = 1,094.41

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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.