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Finding the Fourth Proportional to 3,210.92, 4,817.77 and 1,132.41

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Solution

The fourth proportional to 3,210.92, 4,817.77 and 1,132.41 is: 1,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.92 : 4,817.77 = 1,132.41 : x
  2. Step 2: Convert to fraction form
    3,210.92/4,817.77 = 1,132.41/x
  3. Step 3: Cross multiply
    3,210.92x = 4,817.77 × 1,132.41
  4. Step 4: Simplify right side
    3,210.92x = 5,455,690.93
  5. Step 5: Solve for x
    x = 5,455,690.93/3,210.92
  6. Step 6: Final answer
    x = 1,699.11

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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.