Home / 2,275.34-3,409.34-2,056.64

Finding the Fourth Proportional to 2,275.34, 3,409.34 and 2,056.64

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Solution

The fourth proportional to 2,275.34, 3,409.34 and 2,056.64 is: 3,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.34 : 3,409.34 = 2,056.64 : x
  2. Step 2: Convert to fraction form
    2,275.34/3,409.34 = 2,056.64/x
  3. Step 3: Cross multiply
    2,275.34x = 3,409.34 × 2,056.64
  4. Step 4: Simplify right side
    2,275.34x = 7,011,757.69
  5. Step 5: Solve for x
    x = 7,011,757.69/2,275.34
  6. Step 6: Final answer
    x = 3,081.64

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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.