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Finding the Fourth Proportional to 2,143.28, 2,957.63 and 1,259.03

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Solution

The fourth proportional to 2,143.28, 2,957.63 and 1,259.03 is: 1,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.28 : 2,957.63 = 1,259.03 : x
  2. Step 2: Convert to fraction form
    2,143.28/2,957.63 = 1,259.03/x
  3. Step 3: Cross multiply
    2,143.28x = 2,957.63 × 1,259.03
  4. Step 4: Simplify right side
    2,143.28x = 3,723,744.90
  5. Step 5: Solve for x
    x = 3,723,744.90/2,143.28
  6. Step 6: Final answer
    x = 1,737.40

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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.