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Finding the Fourth Proportional to 3,265.76, 4,506.71 and 1,773.70

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Solution

The fourth proportional to 3,265.76, 4,506.71 and 1,773.70 is: 2,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.76 : 4,506.71 = 1,773.70 : x
  2. Step 2: Convert to fraction form
    3,265.76/4,506.71 = 1,773.70/x
  3. Step 3: Cross multiply
    3,265.76x = 4,506.71 × 1,773.70
  4. Step 4: Simplify right side
    3,265.76x = 7,993,551.53
  5. Step 5: Solve for x
    x = 7,993,551.53/3,265.76
  6. Step 6: Final answer
    x = 2,447.68

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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.