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Finding the Fourth Proportional to 2,516.96, 3,776.16 and 1,219.16

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Solution

The fourth proportional to 2,516.96, 3,776.16 and 1,219.16 is: 1,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.96 : 3,776.16 = 1,219.16 : x
  2. Step 2: Convert to fraction form
    2,516.96/3,776.16 = 1,219.16/x
  3. Step 3: Cross multiply
    2,516.96x = 3,776.16 × 1,219.16
  4. Step 4: Simplify right side
    2,516.96x = 4,603,743.23
  5. Step 5: Solve for x
    x = 4,603,743.23/2,516.96
  6. Step 6: Final answer
    x = 1,829.09

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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.