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Finding the Fourth Proportional to 3,167.67, 4,745.48 and 1,521.93

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Solution

The fourth proportional to 3,167.67, 4,745.48 and 1,521.93 is: 2,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.67 : 4,745.48 = 1,521.93 : x
  2. Step 2: Convert to fraction form
    3,167.67/4,745.48 = 1,521.93/x
  3. Step 3: Cross multiply
    3,167.67x = 4,745.48 × 1,521.93
  4. Step 4: Simplify right side
    3,167.67x = 7,222,280.77
  5. Step 5: Solve for x
    x = 7,222,280.77/3,167.67
  6. Step 6: Final answer
    x = 2,280.00

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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.