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Finding the Fourth Proportional to 2,788.98, 3,848.96 and 1,610.13

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Solution

The fourth proportional to 2,788.98, 3,848.96 and 1,610.13 is: 2,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.98 : 3,848.96 = 1,610.13 : x
  2. Step 2: Convert to fraction form
    2,788.98/3,848.96 = 1,610.13/x
  3. Step 3: Cross multiply
    2,788.98x = 3,848.96 × 1,610.13
  4. Step 4: Simplify right side
    2,788.98x = 6,197,315.56
  5. Step 5: Solve for x
    x = 6,197,315.56/2,788.98
  6. Step 6: Final answer
    x = 2,222.07

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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.