Home / 1,983.52-2,734.32-1,702.48

Finding the Fourth Proportional to 1,983.52, 2,734.32 and 1,702.48

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Solution

The fourth proportional to 1,983.52, 2,734.32 and 1,702.48 is: 2,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.52 : 2,734.32 = 1,702.48 : x
  2. Step 2: Convert to fraction form
    1,983.52/2,734.32 = 1,702.48/x
  3. Step 3: Cross multiply
    1,983.52x = 2,734.32 × 1,702.48
  4. Step 4: Simplify right side
    1,983.52x = 4,655,125.11
  5. Step 5: Solve for x
    x = 4,655,125.11/1,983.52
  6. Step 6: Final answer
    x = 2,346.90

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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.