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Finding the Fourth Proportional to 2,082.96, 3,124.16 and 784.24

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Solution

The fourth proportional to 2,082.96, 3,124.16 and 784.24 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.96 : 3,124.16 = 784.24 : x
  2. Step 2: Convert to fraction form
    2,082.96/3,124.16 = 784.24/x
  3. Step 3: Cross multiply
    2,082.96x = 3,124.16 × 784.24
  4. Step 4: Simplify right side
    2,082.96x = 2,450,091.24
  5. Step 5: Solve for x
    x = 2,450,091.24/2,082.96
  6. Step 6: Final answer
    x = 1,176.25

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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.