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Finding the Fourth Proportional to 2,045.27, 3,068.42 and 584.42

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Solution

The fourth proportional to 2,045.27, 3,068.42 and 584.42 is: 876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.27 : 3,068.42 = 584.42 : x
  2. Step 2: Convert to fraction form
    2,045.27/3,068.42 = 584.42/x
  3. Step 3: Cross multiply
    2,045.27x = 3,068.42 × 584.42
  4. Step 4: Simplify right side
    2,045.27x = 1,793,246.02
  5. Step 5: Solve for x
    x = 1,793,246.02/2,045.27
  6. Step 6: Final answer
    x = 876.78

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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.