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Finding the Fourth Proportional to 2,266.24, 3,399.12 and 898.24

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Solution

The fourth proportional to 2,266.24, 3,399.12 and 898.24 is: 1,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.24 : 3,399.12 = 898.24 : x
  2. Step 2: Convert to fraction form
    2,266.24/3,399.12 = 898.24/x
  3. Step 3: Cross multiply
    2,266.24x = 3,399.12 × 898.24
  4. Step 4: Simplify right side
    2,266.24x = 3,053,225.55
  5. Step 5: Solve for x
    x = 3,053,225.55/2,266.24
  6. Step 6: Final answer
    x = 1,347.26

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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.