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Finding the Fourth Proportional to 1,867.64, 2,801.57 and 942.12

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Solution

The fourth proportional to 1,867.64, 2,801.57 and 942.12 is: 1,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.64 : 2,801.57 = 942.12 : x
  2. Step 2: Convert to fraction form
    1,867.64/2,801.57 = 942.12/x
  3. Step 3: Cross multiply
    1,867.64x = 2,801.57 × 942.12
  4. Step 4: Simplify right side
    1,867.64x = 2,639,410.42
  5. Step 5: Solve for x
    x = 2,639,410.42/1,867.64
  6. Step 6: Final answer
    x = 1,413.24

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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.