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Finding the Fourth Proportional to 2,045.92, 3,069.24 and 951.52

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Solution

The fourth proportional to 2,045.92, 3,069.24 and 951.52 is: 1,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.92 : 3,069.24 = 951.52 : x
  2. Step 2: Convert to fraction form
    2,045.92/3,069.24 = 951.52/x
  3. Step 3: Cross multiply
    2,045.92x = 3,069.24 × 951.52
  4. Step 4: Simplify right side
    2,045.92x = 2,920,443.24
  5. Step 5: Solve for x
    x = 2,920,443.24/2,045.92
  6. Step 6: Final answer
    x = 1,427.45

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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.