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Finding the Fourth Proportional to 3,266.96, 4,900.77 and 1,417.55

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Solution

The fourth proportional to 3,266.96, 4,900.77 and 1,417.55 is: 2,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.96 : 4,900.77 = 1,417.55 : x
  2. Step 2: Convert to fraction form
    3,266.96/4,900.77 = 1,417.55/x
  3. Step 3: Cross multiply
    3,266.96x = 4,900.77 × 1,417.55
  4. Step 4: Simplify right side
    3,266.96x = 6,947,062.01
  5. Step 5: Solve for x
    x = 6,947,062.01/3,266.96
  6. Step 6: Final answer
    x = 2,126.46

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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.