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Finding the Fourth Proportional to 3,266.58, 4,899.29 and 1,417.23

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Solution

The fourth proportional to 3,266.58, 4,899.29 and 1,417.23 is: 2,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.58 : 4,899.29 = 1,417.23 : x
  2. Step 2: Convert to fraction form
    3,266.58/4,899.29 = 1,417.23/x
  3. Step 3: Cross multiply
    3,266.58x = 4,899.29 × 1,417.23
  4. Step 4: Simplify right side
    3,266.58x = 6,943,413.68
  5. Step 5: Solve for x
    x = 6,943,413.68/3,266.58
  6. Step 6: Final answer
    x = 2,125.59

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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.