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Finding the Fourth Proportional to 1,972.92, 2,957.08 and 1,484.40

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Solution

The fourth proportional to 1,972.92, 2,957.08 and 1,484.40 is: 2,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.92 : 2,957.08 = 1,484.40 : x
  2. Step 2: Convert to fraction form
    1,972.92/2,957.08 = 1,484.40/x
  3. Step 3: Cross multiply
    1,972.92x = 2,957.08 × 1,484.40
  4. Step 4: Simplify right side
    1,972.92x = 4,389,489.55
  5. Step 5: Solve for x
    x = 4,389,489.55/1,972.92
  6. Step 6: Final answer
    x = 2,224.87

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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.