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Finding the Fourth Proportional to 2,456.70, 3,390.96 and 1,462.22

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Solution

The fourth proportional to 2,456.70, 3,390.96 and 1,462.22 is: 2,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.70 : 3,390.96 = 1,462.22 : x
  2. Step 2: Convert to fraction form
    2,456.70/3,390.96 = 1,462.22/x
  3. Step 3: Cross multiply
    2,456.70x = 3,390.96 × 1,462.22
  4. Step 4: Simplify right side
    2,456.70x = 4,958,312.58
  5. Step 5: Solve for x
    x = 4,958,312.58/2,456.70
  6. Step 6: Final answer
    x = 2,018.28

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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.