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Finding the Fourth Proportional to 2,975.96, 4,464.16 and 896.13

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Solution

The fourth proportional to 2,975.96, 4,464.16 and 896.13 is: 1,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.96 : 4,464.16 = 896.13 : x
  2. Step 2: Convert to fraction form
    2,975.96/4,464.16 = 896.13/x
  3. Step 3: Cross multiply
    2,975.96x = 4,464.16 × 896.13
  4. Step 4: Simplify right side
    2,975.96x = 4,000,465.46
  5. Step 5: Solve for x
    x = 4,000,465.46/2,975.96
  6. Step 6: Final answer
    x = 1,344.26

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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.