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Finding the Fourth Proportional to 2,774.01, 3,825.19 and 2,416.87

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Solution

The fourth proportional to 2,774.01, 3,825.19 and 2,416.87 is: 3,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.01 : 3,825.19 = 2,416.87 : x
  2. Step 2: Convert to fraction form
    2,774.01/3,825.19 = 2,416.87/x
  3. Step 3: Cross multiply
    2,774.01x = 3,825.19 × 2,416.87
  4. Step 4: Simplify right side
    2,774.01x = 9,244,986.96
  5. Step 5: Solve for x
    x = 9,244,986.96/2,774.01
  6. Step 6: Final answer
    x = 3,332.72

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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.