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Finding the Fourth Proportional to 2,132.94, 3,199.78 and 1,210.30

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Solution

The fourth proportional to 2,132.94, 3,199.78 and 1,210.30 is: 1,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.94 : 3,199.78 = 1,210.30 : x
  2. Step 2: Convert to fraction form
    2,132.94/3,199.78 = 1,210.30/x
  3. Step 3: Cross multiply
    2,132.94x = 3,199.78 × 1,210.30
  4. Step 4: Simplify right side
    2,132.94x = 3,872,693.73
  5. Step 5: Solve for x
    x = 3,872,693.73/2,132.94
  6. Step 6: Final answer
    x = 1,815.66

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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.