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Finding the Fourth Proportional to 2,218.49, 3,327.71 and 575.01

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Solution

The fourth proportional to 2,218.49, 3,327.71 and 575.01 is: 862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.49 : 3,327.71 = 575.01 : x
  2. Step 2: Convert to fraction form
    2,218.49/3,327.71 = 575.01/x
  3. Step 3: Cross multiply
    2,218.49x = 3,327.71 × 575.01
  4. Step 4: Simplify right side
    2,218.49x = 1,913,463.65
  5. Step 5: Solve for x
    x = 1,913,463.65/2,218.49
  6. Step 6: Final answer
    x = 862.51

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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.