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Finding the Fourth Proportional to 2,976.16, 4,464.43 and 896.08

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Solution

The fourth proportional to 2,976.16, 4,464.43 and 896.08 is: 1,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.16 : 4,464.43 = 896.08 : x
  2. Step 2: Convert to fraction form
    2,976.16/4,464.43 = 896.08/x
  3. Step 3: Cross multiply
    2,976.16x = 4,464.43 × 896.08
  4. Step 4: Simplify right side
    2,976.16x = 4,000,476.39
  5. Step 5: Solve for x
    x = 4,000,476.39/2,976.16
  6. Step 6: Final answer
    x = 1,344.17

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1.5x scale

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.