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Finding the Fourth Proportional to 2,808.54, 3,875.79 and 1,549.68

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Solution

The fourth proportional to 2,808.54, 3,875.79 and 1,549.68 is: 2,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.54 : 3,875.79 = 1,549.68 : x
  2. Step 2: Convert to fraction form
    2,808.54/3,875.79 = 1,549.68/x
  3. Step 3: Cross multiply
    2,808.54x = 3,875.79 × 1,549.68
  4. Step 4: Simplify right side
    2,808.54x = 6,006,234.25
  5. Step 5: Solve for x
    x = 6,006,234.25/2,808.54
  6. Step 6: Final answer
    x = 2,138.56

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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.