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Finding the Fourth Proportional to 2,153.92, 3,228.72 and 1,000.48

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Solution

The fourth proportional to 2,153.92, 3,228.72 and 1,000.48 is: 1,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.92 : 3,228.72 = 1,000.48 : x
  2. Step 2: Convert to fraction form
    2,153.92/3,228.72 = 1,000.48/x
  3. Step 3: Cross multiply
    2,153.92x = 3,228.72 × 1,000.48
  4. Step 4: Simplify right side
    2,153.92x = 3,230,269.79
  5. Step 5: Solve for x
    x = 3,230,269.79/2,153.92
  6. Step 6: Final answer
    x = 1,499.72

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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.