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Finding the Fourth Proportional to 2,346.51, 3,519.50 and 615.27

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Solution

The fourth proportional to 2,346.51, 3,519.50 and 615.27 is: 922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.51 : 3,519.50 = 615.27 : x
  2. Step 2: Convert to fraction form
    2,346.51/3,519.50 = 615.27/x
  3. Step 3: Cross multiply
    2,346.51x = 3,519.50 × 615.27
  4. Step 4: Simplify right side
    2,346.51x = 2,165,439.69
  5. Step 5: Solve for x
    x = 2,165,439.69/2,346.51
  6. Step 6: Final answer
    x = 922.83

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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.