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Finding the Fourth Proportional to 2,143.50, 2,958.21 and 1,357.26

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Solution

The fourth proportional to 2,143.50, 2,958.21 and 1,357.26 is: 1,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.50 : 2,958.21 = 1,357.26 : x
  2. Step 2: Convert to fraction form
    2,143.50/2,958.21 = 1,357.26/x
  3. Step 3: Cross multiply
    2,143.50x = 2,958.21 × 1,357.26
  4. Step 4: Simplify right side
    2,143.50x = 4,015,060.10
  5. Step 5: Solve for x
    x = 4,015,060.10/2,143.50
  6. Step 6: Final answer
    x = 1,873.13

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Why These Related Problems?

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