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Finding the Fourth Proportional to 2,297.70, 3,171.60 and 1,458.90

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Solution

The fourth proportional to 2,297.70, 3,171.60 and 1,458.90 is: 2,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.70 : 3,171.60 = 1,458.90 : x
  2. Step 2: Convert to fraction form
    2,297.70/3,171.60 = 1,458.90/x
  3. Step 3: Cross multiply
    2,297.70x = 3,171.60 × 1,458.90
  4. Step 4: Simplify right side
    2,297.70x = 4,627,047.24
  5. Step 5: Solve for x
    x = 4,627,047.24/2,297.70
  6. Step 6: Final answer
    x = 2,013.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.