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Finding the Fourth Proportional to 2,294.63, 3,434.89 and 1,473.69

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Solution

The fourth proportional to 2,294.63, 3,434.89 and 1,473.69 is: 2,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.63 : 3,434.89 = 1,473.69 : x
  2. Step 2: Convert to fraction form
    2,294.63/3,434.89 = 1,473.69/x
  3. Step 3: Cross multiply
    2,294.63x = 3,434.89 × 1,473.69
  4. Step 4: Simplify right side
    2,294.63x = 5,061,963.04
  5. Step 5: Solve for x
    x = 5,061,963.04/2,294.63
  6. Step 6: Final answer
    x = 2,206.00

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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.