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Finding the Fourth Proportional to 2,653.82, 3,666.66 and 2,098.55

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Solution

The fourth proportional to 2,653.82, 3,666.66 and 2,098.55 is: 2,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.82 : 3,666.66 = 2,098.55 : x
  2. Step 2: Convert to fraction form
    2,653.82/3,666.66 = 2,098.55/x
  3. Step 3: Cross multiply
    2,653.82x = 3,666.66 × 2,098.55
  4. Step 4: Simplify right side
    2,653.82x = 7,694,669.34
  5. Step 5: Solve for x
    x = 7,694,669.34/2,653.82
  6. Step 6: Final answer
    x = 2,899.47

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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.