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Finding the Fourth Proportional to 2,811.24, 4,216.35 and 863.01

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Solution

The fourth proportional to 2,811.24, 4,216.35 and 863.01 is: 1,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.24 : 4,216.35 = 863.01 : x
  2. Step 2: Convert to fraction form
    2,811.24/4,216.35 = 863.01/x
  3. Step 3: Cross multiply
    2,811.24x = 4,216.35 × 863.01
  4. Step 4: Simplify right side
    2,811.24x = 3,638,752.21
  5. Step 5: Solve for x
    x = 3,638,752.21/2,811.24
  6. Step 6: Final answer
    x = 1,294.36

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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.