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Finding the Fourth Proportional to 3,219.34, 4,442.65 and 1,822.10

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Solution

The fourth proportional to 3,219.34, 4,442.65 and 1,822.10 is: 2,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.34 : 4,442.65 = 1,822.10 : x
  2. Step 2: Convert to fraction form
    3,219.34/4,442.65 = 1,822.10/x
  3. Step 3: Cross multiply
    3,219.34x = 4,442.65 × 1,822.10
  4. Step 4: Simplify right side
    3,219.34x = 8,094,952.57
  5. Step 5: Solve for x
    x = 8,094,952.57/3,219.34
  6. Step 6: Final answer
    x = 2,514.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.