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Finding the Fourth Proportional to 2,297.02, 3,444 and 1,127.02

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Solution

The fourth proportional to 2,297.02, 3,444 and 1,127.02 is: 1,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.02 : 3,444 = 1,127.02 : x
  2. Step 2: Convert to fraction form
    2,297.02/3,444 = 1,127.02/x
  3. Step 3: Cross multiply
    2,297.02x = 3,444 × 1,127.02
  4. Step 4: Simplify right side
    2,297.02x = 3,881,456.88
  5. Step 5: Solve for x
    x = 3,881,456.88/2,297.02
  6. Step 6: Final answer
    x = 1,689.78

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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.