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Finding the Fourth Proportional to 2,143.25, 2,958 and 1,259.54

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Solution

The fourth proportional to 2,143.25, 2,958 and 1,259.54 is: 1,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.25 : 2,958 = 1,259.54 : x
  2. Step 2: Convert to fraction form
    2,143.25/2,958 = 1,259.54/x
  3. Step 3: Cross multiply
    2,143.25x = 2,958 × 1,259.54
  4. Step 4: Simplify right side
    2,143.25x = 3,725,719.32
  5. Step 5: Solve for x
    x = 3,725,719.32/2,143.25
  6. Step 6: Final answer
    x = 1,738.35

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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.