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Finding the Fourth Proportional to 2,297.70, 3,153.20 and 2,151.90

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Solution

The fourth proportional to 2,297.70, 3,153.20 and 2,151.90 is: 2,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.70 : 3,153.20 = 2,151.90 : x
  2. Step 2: Convert to fraction form
    2,297.70/3,153.20 = 2,151.90/x
  3. Step 3: Cross multiply
    2,297.70x = 3,153.20 × 2,151.90
  4. Step 4: Simplify right side
    2,297.70x = 6,785,360.32
  5. Step 5: Solve for x
    x = 6,785,360.32/2,297.70
  6. Step 6: Final answer
    x = 2,953.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.