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Finding the Fourth Proportional to 2,141.52, 3,212.28 and 602.48

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Solution

The fourth proportional to 2,141.52, 3,212.28 and 602.48 is: 903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.52 : 3,212.28 = 602.48 : x
  2. Step 2: Convert to fraction form
    2,141.52/3,212.28 = 602.48/x
  3. Step 3: Cross multiply
    2,141.52x = 3,212.28 × 602.48
  4. Step 4: Simplify right side
    2,141.52x = 1,935,334.45
  5. Step 5: Solve for x
    x = 1,935,334.45/2,141.52
  6. Step 6: Final answer
    x = 903.72

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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.