Home / 2,313.20-3,470.15-997.32

Finding the Fourth Proportional to 2,313.20, 3,470.15 and 997.32

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Solution

The fourth proportional to 2,313.20, 3,470.15 and 997.32 is: 1,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.20 : 3,470.15 = 997.32 : x
  2. Step 2: Convert to fraction form
    2,313.20/3,470.15 = 997.32/x
  3. Step 3: Cross multiply
    2,313.20x = 3,470.15 × 997.32
  4. Step 4: Simplify right side
    2,313.20x = 3,460,854.36
  5. Step 5: Solve for x
    x = 3,460,854.36/2,313.20
  6. Step 6: Final answer
    x = 1,496.14

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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.