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Finding the Fourth Proportional to 2,257.52, 3,386.24 and 889.52

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Solution

The fourth proportional to 2,257.52, 3,386.24 and 889.52 is: 1,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.52 : 3,386.24 = 889.52 : x
  2. Step 2: Convert to fraction form
    2,257.52/3,386.24 = 889.52/x
  3. Step 3: Cross multiply
    2,257.52x = 3,386.24 × 889.52
  4. Step 4: Simplify right side
    2,257.52x = 3,012,128.20
  5. Step 5: Solve for x
    x = 3,012,128.20/2,257.52
  6. Step 6: Final answer
    x = 1,334.26

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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.