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Finding the Fourth Proportional to 3,074.67, 4,603.82 and 1,610.76

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Solution

The fourth proportional to 3,074.67, 4,603.82 and 1,610.76 is: 2,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.67 : 4,603.82 = 1,610.76 : x
  2. Step 2: Convert to fraction form
    3,074.67/4,603.82 = 1,610.76/x
  3. Step 3: Cross multiply
    3,074.67x = 4,603.82 × 1,610.76
  4. Step 4: Simplify right side
    3,074.67x = 7,415,641.05
  5. Step 5: Solve for x
    x = 7,415,641.05/3,074.67
  6. Step 6: Final answer
    x = 2,411.85

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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.