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Finding the Fourth Proportional to 2,288.39, 3,432.28 and 645.06

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Solution

The fourth proportional to 2,288.39, 3,432.28 and 645.06 is: 967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.39 : 3,432.28 = 645.06 : x
  2. Step 2: Convert to fraction form
    2,288.39/3,432.28 = 645.06/x
  3. Step 3: Cross multiply
    2,288.39x = 3,432.28 × 645.06
  4. Step 4: Simplify right side
    2,288.39x = 2,214,026.54
  5. Step 5: Solve for x
    x = 2,214,026.54/2,288.39
  6. Step 6: Final answer
    x = 967.50

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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.