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Finding the Fourth Proportional to 2,216.13, 3,323.84 and 572.63

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Solution

The fourth proportional to 2,216.13, 3,323.84 and 572.63 is: 858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.13 : 3,323.84 = 572.63 : x
  2. Step 2: Convert to fraction form
    2,216.13/3,323.84 = 572.63/x
  3. Step 3: Cross multiply
    2,216.13x = 3,323.84 × 572.63
  4. Step 4: Simplify right side
    2,216.13x = 1,903,311.02
  5. Step 5: Solve for x
    x = 1,903,311.02/2,216.13
  6. Step 6: Final answer
    x = 858.84

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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.