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Finding the Fourth Proportional to 1,822.51, 2,733.77 and 652.55

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Solution

The fourth proportional to 1,822.51, 2,733.77 and 652.55 is: 978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.51 : 2,733.77 = 652.55 : x
  2. Step 2: Convert to fraction form
    1,822.51/2,733.77 = 652.55/x
  3. Step 3: Cross multiply
    1,822.51x = 2,733.77 × 652.55
  4. Step 4: Simplify right side
    1,822.51x = 1,783,930.08
  5. Step 5: Solve for x
    x = 1,783,930.08/1,822.51
  6. Step 6: Final answer
    x = 978.83

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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.