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Finding the Fourth Proportional to 2,330.78, 3,496.98 and 943.68

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Solution

The fourth proportional to 2,330.78, 3,496.98 and 943.68 is: 1,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.78 : 3,496.98 = 943.68 : x
  2. Step 2: Convert to fraction form
    2,330.78/3,496.98 = 943.68/x
  3. Step 3: Cross multiply
    2,330.78x = 3,496.98 × 943.68
  4. Step 4: Simplify right side
    2,330.78x = 3,300,030.09
  5. Step 5: Solve for x
    x = 3,300,030.09/2,330.78
  6. Step 6: Final answer
    x = 1,415.85

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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.