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Finding the Fourth Proportional to 2,954.72, 4,432.47 and 1,105.40

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Solution

The fourth proportional to 2,954.72, 4,432.47 and 1,105.40 is: 1,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.72 : 4,432.47 = 1,105.40 : x
  2. Step 2: Convert to fraction form
    2,954.72/4,432.47 = 1,105.40/x
  3. Step 3: Cross multiply
    2,954.72x = 4,432.47 × 1,105.40
  4. Step 4: Simplify right side
    2,954.72x = 4,899,630.18
  5. Step 5: Solve for x
    x = 4,899,630.18/2,954.72
  6. Step 6: Final answer
    x = 1,658.24

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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.