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Finding the Fourth Proportional to 2,874.75, 3,967.08 and 1,598.54

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Solution

The fourth proportional to 2,874.75, 3,967.08 and 1,598.54 is: 2,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.75 : 3,967.08 = 1,598.54 : x
  2. Step 2: Convert to fraction form
    2,874.75/3,967.08 = 1,598.54/x
  3. Step 3: Cross multiply
    2,874.75x = 3,967.08 × 1,598.54
  4. Step 4: Simplify right side
    2,874.75x = 6,341,516.23
  5. Step 5: Solve for x
    x = 6,341,516.23/2,874.75
  6. Step 6: Final answer
    x = 2,205.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.