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Finding the Fourth Proportional to 2,332.36, 3,498.54 and 793

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Solution

The fourth proportional to 2,332.36, 3,498.54 and 793 is: 1,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.36 : 3,498.54 = 793 : x
  2. Step 2: Convert to fraction form
    2,332.36/3,498.54 = 793/x
  3. Step 3: Cross multiply
    2,332.36x = 3,498.54 × 793
  4. Step 4: Simplify right side
    2,332.36x = 2,774,342.22
  5. Step 5: Solve for x
    x = 2,774,342.22/2,332.36
  6. Step 6: Final answer
    x = 1,189.50

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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.