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Finding the Fourth Proportional to 2,045.39, 3,068.12 and 584.54

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Solution

The fourth proportional to 2,045.39, 3,068.12 and 584.54 is: 876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.39 : 3,068.12 = 584.54 : x
  2. Step 2: Convert to fraction form
    2,045.39/3,068.12 = 584.54/x
  3. Step 3: Cross multiply
    2,045.39x = 3,068.12 × 584.54
  4. Step 4: Simplify right side
    2,045.39x = 1,793,438.86
  5. Step 5: Solve for x
    x = 1,793,438.86/2,045.39
  6. Step 6: Final answer
    x = 876.82

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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.