Home / 2,732.10-4,097.54-784.46

Finding the Fourth Proportional to 2,732.10, 4,097.54 and 784.46

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Solution

The fourth proportional to 2,732.10, 4,097.54 and 784.46 is: 1,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.10 : 4,097.54 = 784.46 : x
  2. Step 2: Convert to fraction form
    2,732.10/4,097.54 = 784.46/x
  3. Step 3: Cross multiply
    2,732.10x = 4,097.54 × 784.46
  4. Step 4: Simplify right side
    2,732.10x = 3,214,356.23
  5. Step 5: Solve for x
    x = 3,214,356.23/2,732.10
  6. Step 6: Final answer
    x = 1,176.51

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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.