Home / 2,314.32-3,463.20-2,009.76

Finding the Fourth Proportional to 2,314.32, 3,463.20 and 2,009.76

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Solution

The fourth proportional to 2,314.32, 3,463.20 and 2,009.76 is: 3,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.32 : 3,463.20 = 2,009.76 : x
  2. Step 2: Convert to fraction form
    2,314.32/3,463.20 = 2,009.76/x
  3. Step 3: Cross multiply
    2,314.32x = 3,463.20 × 2,009.76
  4. Step 4: Simplify right side
    2,314.32x = 6,960,200.83
  5. Step 5: Solve for x
    x = 6,960,200.83/2,314.32
  6. Step 6: Final answer
    x = 3,007.45

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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.