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Finding the Fourth Proportional to 1,400.52, 2,097.87 and 1,183.34

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Solution

The fourth proportional to 1,400.52, 2,097.87 and 1,183.34 is: 1,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.52 : 2,097.87 = 1,183.34 : x
  2. Step 2: Convert to fraction form
    1,400.52/2,097.87 = 1,183.34/x
  3. Step 3: Cross multiply
    1,400.52x = 2,097.87 × 1,183.34
  4. Step 4: Simplify right side
    1,400.52x = 2,482,483.00
  5. Step 5: Solve for x
    x = 2,482,483.00/1,400.52
  6. Step 6: Final answer
    x = 1,772.54

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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.