Home / 2,309.40-3,186-1,470.06

Finding the Fourth Proportional to 2,309.40, 3,186 and 1,470.06

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Solution

The fourth proportional to 2,309.40, 3,186 and 1,470.06 is: 2,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.40 : 3,186 = 1,470.06 : x
  2. Step 2: Convert to fraction form
    2,309.40/3,186 = 1,470.06/x
  3. Step 3: Cross multiply
    2,309.40x = 3,186 × 1,470.06
  4. Step 4: Simplify right side
    2,309.40x = 4,683,611.16
  5. Step 5: Solve for x
    x = 4,683,611.16/2,309.40
  6. Step 6: Final answer
    x = 2,028.06

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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.