Home / 2,975.66-4,462.86-1,028

Finding the Fourth Proportional to 2,975.66, 4,462.86 and 1,028

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Solution

The fourth proportional to 2,975.66, 4,462.86 and 1,028 is: 1,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.66 : 4,462.86 = 1,028 : x
  2. Step 2: Convert to fraction form
    2,975.66/4,462.86 = 1,028/x
  3. Step 3: Cross multiply
    2,975.66x = 4,462.86 × 1,028
  4. Step 4: Simplify right side
    2,975.66x = 4,587,820.08
  5. Step 5: Solve for x
    x = 4,587,820.08/2,975.66
  6. Step 6: Final answer
    x = 1,541.78

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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.