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Finding the Fourth Proportional to 2,788.49, 3,848.17 and 1,669.48

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Solution

The fourth proportional to 2,788.49, 3,848.17 and 1,669.48 is: 2,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.49 : 3,848.17 = 1,669.48 : x
  2. Step 2: Convert to fraction form
    2,788.49/3,848.17 = 1,669.48/x
  3. Step 3: Cross multiply
    2,788.49x = 3,848.17 × 1,669.48
  4. Step 4: Simplify right side
    2,788.49x = 6,424,442.85
  5. Step 5: Solve for x
    x = 6,424,442.85/2,788.49
  6. Step 6: Final answer
    x = 2,303.91

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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.