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Finding the Fourth Proportional to 2,297.70, 3,444.39 and 1,126.98

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Solution

The fourth proportional to 2,297.70, 3,444.39 and 1,126.98 is: 1,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.70 : 3,444.39 = 1,126.98 : x
  2. Step 2: Convert to fraction form
    2,297.70/3,444.39 = 1,126.98/x
  3. Step 3: Cross multiply
    2,297.70x = 3,444.39 × 1,126.98
  4. Step 4: Simplify right side
    2,297.70x = 3,881,758.64
  5. Step 5: Solve for x
    x = 3,881,758.64/2,297.70
  6. Step 6: Final answer
    x = 1,689.41

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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.