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Finding the Fourth Proportional to 2,549.84, 3,826.02 and 1,882.76

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Solution

The fourth proportional to 2,549.84, 3,826.02 and 1,882.76 is: 2,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.84 : 3,826.02 = 1,882.76 : x
  2. Step 2: Convert to fraction form
    2,549.84/3,826.02 = 1,882.76/x
  3. Step 3: Cross multiply
    2,549.84x = 3,826.02 × 1,882.76
  4. Step 4: Simplify right side
    2,549.84x = 7,203,477.42
  5. Step 5: Solve for x
    x = 7,203,477.42/2,549.84
  6. Step 6: Final answer
    x = 2,825.07

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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.