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Finding the Fourth Proportional to 1,345.24, 1,856.82 and 822.22

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Solution

The fourth proportional to 1,345.24, 1,856.82 and 822.22 is: 1,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.24 : 1,856.82 = 822.22 : x
  2. Step 2: Convert to fraction form
    1,345.24/1,856.82 = 822.22/x
  3. Step 3: Cross multiply
    1,345.24x = 1,856.82 × 822.22
  4. Step 4: Simplify right side
    1,345.24x = 1,526,714.54
  5. Step 5: Solve for x
    x = 1,526,714.54/1,345.24
  6. Step 6: Final answer
    x = 1,134.90

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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.