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Finding the Fourth Proportional to 2,641.98, 3,645.78 and 1,462.98

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Solution

The fourth proportional to 2,641.98, 3,645.78 and 1,462.98 is: 2,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.98 : 3,645.78 = 1,462.98 : x
  2. Step 2: Convert to fraction form
    2,641.98/3,645.78 = 1,462.98/x
  3. Step 3: Cross multiply
    2,641.98x = 3,645.78 × 1,462.98
  4. Step 4: Simplify right side
    2,641.98x = 5,333,703.22
  5. Step 5: Solve for x
    x = 5,333,703.22/2,641.98
  6. Step 6: Final answer
    x = 2,018.83

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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.