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Finding the Fourth Proportional to 1,249.08, 1,870.02 and 942.22

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Solution

The fourth proportional to 1,249.08, 1,870.02 and 942.22 is: 1,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.08 : 1,870.02 = 942.22 : x
  2. Step 2: Convert to fraction form
    1,249.08/1,870.02 = 942.22/x
  3. Step 3: Cross multiply
    1,249.08x = 1,870.02 × 942.22
  4. Step 4: Simplify right side
    1,249.08x = 1,761,970.24
  5. Step 5: Solve for x
    x = 1,761,970.24/1,249.08
  6. Step 6: Final answer
    x = 1,410.61

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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.