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Finding the Fourth Proportional to 2,856.72, 4,284.16 and 908.46

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Solution

The fourth proportional to 2,856.72, 4,284.16 and 908.46 is: 1,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.72 : 4,284.16 = 908.46 : x
  2. Step 2: Convert to fraction form
    2,856.72/4,284.16 = 908.46/x
  3. Step 3: Cross multiply
    2,856.72x = 4,284.16 × 908.46
  4. Step 4: Simplify right side
    2,856.72x = 3,891,994.16
  5. Step 5: Solve for x
    x = 3,891,994.16/2,856.72
  6. Step 6: Final answer
    x = 1,362.40

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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.