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Finding the Fourth Proportional to 1,494.14, 2,239.86 and 1,103.18

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Solution

The fourth proportional to 1,494.14, 2,239.86 and 1,103.18 is: 1,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.14 : 2,239.86 = 1,103.18 : x
  2. Step 2: Convert to fraction form
    1,494.14/2,239.86 = 1,103.18/x
  3. Step 3: Cross multiply
    1,494.14x = 2,239.86 × 1,103.18
  4. Step 4: Simplify right side
    1,494.14x = 2,470,968.75
  5. Step 5: Solve for x
    x = 2,470,968.75/1,494.14
  6. Step 6: Final answer
    x = 1,653.77

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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.