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Finding the Fourth Proportional to 2,152.82, 3,228.80 and 592.42

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Solution

The fourth proportional to 2,152.82, 3,228.80 and 592.42 is: 888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.82 : 3,228.80 = 592.42 : x
  2. Step 2: Convert to fraction form
    2,152.82/3,228.80 = 592.42/x
  3. Step 3: Cross multiply
    2,152.82x = 3,228.80 × 592.42
  4. Step 4: Simplify right side
    2,152.82x = 1,912,797.99
  5. Step 5: Solve for x
    x = 1,912,797.99/2,152.82
  6. Step 6: Final answer
    x = 888.51

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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.