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Finding the Fourth Proportional to 2,232.42, 3,348.48 and 588.94

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Solution

The fourth proportional to 2,232.42, 3,348.48 and 588.94 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.42 : 3,348.48 = 588.94 : x
  2. Step 2: Convert to fraction form
    2,232.42/3,348.48 = 588.94/x
  3. Step 3: Cross multiply
    2,232.42x = 3,348.48 × 588.94
  4. Step 4: Simplify right side
    2,232.42x = 1,972,053.81
  5. Step 5: Solve for x
    x = 1,972,053.81/2,232.42
  6. Step 6: Final answer
    x = 883.37

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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.