Home / 1,798.30-2,702.33-977.18

Finding the Fourth Proportional to 1,798.30, 2,702.33 and 977.18

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Solution

The fourth proportional to 1,798.30, 2,702.33 and 977.18 is: 1,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.30 : 2,702.33 = 977.18 : x
  2. Step 2: Convert to fraction form
    1,798.30/2,702.33 = 977.18/x
  3. Step 3: Cross multiply
    1,798.30x = 2,702.33 × 977.18
  4. Step 4: Simplify right side
    1,798.30x = 2,640,673.25
  5. Step 5: Solve for x
    x = 2,640,673.25/1,798.30
  6. Step 6: Final answer
    x = 1,468.43

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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.