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Finding the Fourth Proportional to 1,822.18, 2,734.02 and 652.33

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Solution

The fourth proportional to 1,822.18, 2,734.02 and 652.33 is: 978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.18 : 2,734.02 = 652.33 : x
  2. Step 2: Convert to fraction form
    1,822.18/2,734.02 = 652.33/x
  3. Step 3: Cross multiply
    1,822.18x = 2,734.02 × 652.33
  4. Step 4: Simplify right side
    1,822.18x = 1,783,483.27
  5. Step 5: Solve for x
    x = 1,783,483.27/1,822.18
  6. Step 6: Final answer
    x = 978.76

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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.