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Finding the Fourth Proportional to 1,768.78, 2,649.55 and 841.53

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Solution

The fourth proportional to 1,768.78, 2,649.55 and 841.53 is: 1,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.78 : 2,649.55 = 841.53 : x
  2. Step 2: Convert to fraction form
    1,768.78/2,649.55 = 841.53/x
  3. Step 3: Cross multiply
    1,768.78x = 2,649.55 × 841.53
  4. Step 4: Simplify right side
    1,768.78x = 2,229,675.81
  5. Step 5: Solve for x
    x = 2,229,675.81/1,768.78
  6. Step 6: Final answer
    x = 1,260.58

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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.