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Finding the Fourth Proportional to 3,244.55, 4,866.15 and 1,164.68

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Solution

The fourth proportional to 3,244.55, 4,866.15 and 1,164.68 is: 1,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.55 : 4,866.15 = 1,164.68 : x
  2. Step 2: Convert to fraction form
    3,244.55/4,866.15 = 1,164.68/x
  3. Step 3: Cross multiply
    3,244.55x = 4,866.15 × 1,164.68
  4. Step 4: Simplify right side
    3,244.55x = 5,667,477.43
  5. Step 5: Solve for x
    x = 5,667,477.43/3,244.55
  6. Step 6: Final answer
    x = 1,746.77

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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.