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Finding the Fourth Proportional to 2,903.92, 4,355.86 and 1,149.46

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Solution

The fourth proportional to 2,903.92, 4,355.86 and 1,149.46 is: 1,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.92 : 4,355.86 = 1,149.46 : x
  2. Step 2: Convert to fraction form
    2,903.92/4,355.86 = 1,149.46/x
  3. Step 3: Cross multiply
    2,903.92x = 4,355.86 × 1,149.46
  4. Step 4: Simplify right side
    2,903.92x = 5,006,886.84
  5. Step 5: Solve for x
    x = 5,006,886.84/2,903.92
  6. Step 6: Final answer
    x = 1,724.18

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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.