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Finding the Fourth Proportional to 1,484.31, 2,057.22 and 1,456.65

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Solution

The fourth proportional to 1,484.31, 2,057.22 and 1,456.65 is: 2,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.31 : 2,057.22 = 1,456.65 : x
  2. Step 2: Convert to fraction form
    1,484.31/2,057.22 = 1,456.65/x
  3. Step 3: Cross multiply
    1,484.31x = 2,057.22 × 1,456.65
  4. Step 4: Simplify right side
    1,484.31x = 2,996,649.51
  5. Step 5: Solve for x
    x = 2,996,649.51/1,484.31
  6. Step 6: Final answer
    x = 2,018.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.