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Finding the Fourth Proportional to 2,976.29, 4,465.17 and 896.24

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Solution

The fourth proportional to 2,976.29, 4,465.17 and 896.24 is: 1,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.29 : 4,465.17 = 896.24 : x
  2. Step 2: Convert to fraction form
    2,976.29/4,465.17 = 896.24/x
  3. Step 3: Cross multiply
    2,976.29x = 4,465.17 × 896.24
  4. Step 4: Simplify right side
    2,976.29x = 4,001,875.12
  5. Step 5: Solve for x
    x = 4,001,875.12/2,976.29
  6. Step 6: Final answer
    x = 1,344.59

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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.