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Finding the Fourth Proportional to 2,045.92, 3,068 and 584.76

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Solution

The fourth proportional to 2,045.92, 3,068 and 584.76 is: 876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.92 : 3,068 = 584.76 : x
  2. Step 2: Convert to fraction form
    2,045.92/3,068 = 584.76/x
  3. Step 3: Cross multiply
    2,045.92x = 3,068 × 584.76
  4. Step 4: Simplify right side
    2,045.92x = 1,794,043.68
  5. Step 5: Solve for x
    x = 1,794,043.68/2,045.92
  6. Step 6: Final answer
    x = 876.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.