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Finding the Fourth Proportional to 2,342.75, 3,233.00 and 1,411.43

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Solution

The fourth proportional to 2,342.75, 3,233.00 and 1,411.43 is: 1,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.75 : 3,233.00 = 1,411.43 : x
  2. Step 2: Convert to fraction form
    2,342.75/3,233.00 = 1,411.43/x
  3. Step 3: Cross multiply
    2,342.75x = 3,233.00 × 1,411.43
  4. Step 4: Simplify right side
    2,342.75x = 4,563,146.13
  5. Step 5: Solve for x
    x = 4,563,146.13/2,342.75
  6. Step 6: Final answer
    x = 1,947.77

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1.5x scale

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.