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Finding the Fourth Proportional to 2,764.84, 4,148.82 and 1,121.08

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Solution

The fourth proportional to 2,764.84, 4,148.82 and 1,121.08 is: 1,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.84 : 4,148.82 = 1,121.08 : x
  2. Step 2: Convert to fraction form
    2,764.84/4,148.82 = 1,121.08/x
  3. Step 3: Cross multiply
    2,764.84x = 4,148.82 × 1,121.08
  4. Step 4: Simplify right side
    2,764.84x = 4,651,159.13
  5. Step 5: Solve for x
    x = 4,651,159.13/2,764.84
  6. Step 6: Final answer
    x = 1,682.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.