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Finding the Fourth Proportional to 2,143.89, 2,958.89 and 1,358.01

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Solution

The fourth proportional to 2,143.89, 2,958.89 and 1,358.01 is: 1,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.89 : 2,958.89 = 1,358.01 : x
  2. Step 2: Convert to fraction form
    2,143.89/2,958.89 = 1,358.01/x
  3. Step 3: Cross multiply
    2,143.89x = 2,958.89 × 1,358.01
  4. Step 4: Simplify right side
    2,143.89x = 4,018,202.21
  5. Step 5: Solve for x
    x = 4,018,202.21/2,143.89
  6. Step 6: Final answer
    x = 1,874.26

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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.