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Finding the Fourth Proportional to 1,498.72, 2,249.52 and 816.16

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Solution

The fourth proportional to 1,498.72, 2,249.52 and 816.16 is: 1,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.72 : 2,249.52 = 816.16 : x
  2. Step 2: Convert to fraction form
    1,498.72/2,249.52 = 816.16/x
  3. Step 3: Cross multiply
    1,498.72x = 2,249.52 × 816.16
  4. Step 4: Simplify right side
    1,498.72x = 1,835,968.24
  5. Step 5: Solve for x
    x = 1,835,968.24/1,498.72
  6. Step 6: Final answer
    x = 1,225.02

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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.