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Finding the Fourth Proportional to 1,498.36, 2,249.12 and 719.03

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Solution

The fourth proportional to 1,498.36, 2,249.12 and 719.03 is: 1,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.36 : 2,249.12 = 719.03 : x
  2. Step 2: Convert to fraction form
    1,498.36/2,249.12 = 719.03/x
  3. Step 3: Cross multiply
    1,498.36x = 2,249.12 × 719.03
  4. Step 4: Simplify right side
    1,498.36x = 1,617,184.75
  5. Step 5: Solve for x
    x = 1,617,184.75/1,498.36
  6. Step 6: Final answer
    x = 1,079.30

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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.