Home / 2,270.16-3,402.41-970.11

Finding the Fourth Proportional to 2,270.16, 3,402.41 and 970.11

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Solution

The fourth proportional to 2,270.16, 3,402.41 and 970.11 is: 1,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.16 : 3,402.41 = 970.11 : x
  2. Step 2: Convert to fraction form
    2,270.16/3,402.41 = 970.11/x
  3. Step 3: Cross multiply
    2,270.16x = 3,402.41 × 970.11
  4. Step 4: Simplify right side
    2,270.16x = 3,300,707.11
  5. Step 5: Solve for x
    x = 3,300,707.11/2,270.16
  6. Step 6: Final answer
    x = 1,453.95

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1.5x scale

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.