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Finding the Fourth Proportional to 2,003.84, 2,766.25 and 1,554.69

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Solution

The fourth proportional to 2,003.84, 2,766.25 and 1,554.69 is: 2,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.84 : 2,766.25 = 1,554.69 : x
  2. Step 2: Convert to fraction form
    2,003.84/2,766.25 = 1,554.69/x
  3. Step 3: Cross multiply
    2,003.84x = 2,766.25 × 1,554.69
  4. Step 4: Simplify right side
    2,003.84x = 4,300,673.53
  5. Step 5: Solve for x
    x = 4,300,673.53/2,003.84
  6. Step 6: Final answer
    x = 2,146.22

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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.