Home / 1,934.96-2,901.83-702.14

Finding the Fourth Proportional to 1,934.96, 2,901.83 and 702.14

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Solution

The fourth proportional to 1,934.96, 2,901.83 and 702.14 is: 1,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.96 : 2,901.83 = 702.14 : x
  2. Step 2: Convert to fraction form
    1,934.96/2,901.83 = 702.14/x
  3. Step 3: Cross multiply
    1,934.96x = 2,901.83 × 702.14
  4. Step 4: Simplify right side
    1,934.96x = 2,037,472.90
  5. Step 5: Solve for x
    x = 2,037,472.90/1,934.96
  6. Step 6: Final answer
    x = 1,052.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.