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Finding the Fourth Proportional to 3,018.52, 4,527.78 and 827.47

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Solution

The fourth proportional to 3,018.52, 4,527.78 and 827.47 is: 1,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.52 : 4,527.78 = 827.47 : x
  2. Step 2: Convert to fraction form
    3,018.52/4,527.78 = 827.47/x
  3. Step 3: Cross multiply
    3,018.52x = 4,527.78 × 827.47
  4. Step 4: Simplify right side
    3,018.52x = 3,746,602.12
  5. Step 5: Solve for x
    x = 3,746,602.12/3,018.52
  6. Step 6: Final answer
    x = 1,241.21

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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.