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Finding the Fourth Proportional to 1,458.18, 2,183.49 and 808.02

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Solution

The fourth proportional to 1,458.18, 2,183.49 and 808.02 is: 1,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.18 : 2,183.49 = 808.02 : x
  2. Step 2: Convert to fraction form
    1,458.18/2,183.49 = 808.02/x
  3. Step 3: Cross multiply
    1,458.18x = 2,183.49 × 808.02
  4. Step 4: Simplify right side
    1,458.18x = 1,764,303.59
  5. Step 5: Solve for x
    x = 1,764,303.59/1,458.18
  6. Step 6: Final answer
    x = 1,209.94

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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.