Home / 3,071.07-4,606.64-762.57

Finding the Fourth Proportional to 3,071.07, 4,606.64 and 762.57

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Solution

The fourth proportional to 3,071.07, 4,606.64 and 762.57 is: 1,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.07 : 4,606.64 = 762.57 : x
  2. Step 2: Convert to fraction form
    3,071.07/4,606.64 = 762.57/x
  3. Step 3: Cross multiply
    3,071.07x = 4,606.64 × 762.57
  4. Step 4: Simplify right side
    3,071.07x = 3,512,881.65
  5. Step 5: Solve for x
    x = 3,512,881.65/3,071.07
  6. Step 6: Final answer
    x = 1,143.86

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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.