Home / 2,182.95-3,275.15-702.40

Finding the Fourth Proportional to 2,182.95, 3,275.15 and 702.40

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Solution

The fourth proportional to 2,182.95, 3,275.15 and 702.40 is: 1,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.95 : 3,275.15 = 702.40 : x
  2. Step 2: Convert to fraction form
    2,182.95/3,275.15 = 702.40/x
  3. Step 3: Cross multiply
    2,182.95x = 3,275.15 × 702.40
  4. Step 4: Simplify right side
    2,182.95x = 2,300,465.36
  5. Step 5: Solve for x
    x = 2,300,465.36/2,182.95
  6. Step 6: Final answer
    x = 1,053.83

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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.