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Finding the Fourth Proportional to 1,934.69, 2,903.10 and 823.94

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Solution

The fourth proportional to 1,934.69, 2,903.10 and 823.94 is: 1,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.69 : 2,903.10 = 823.94 : x
  2. Step 2: Convert to fraction form
    1,934.69/2,903.10 = 823.94/x
  3. Step 3: Cross multiply
    1,934.69x = 2,903.10 × 823.94
  4. Step 4: Simplify right side
    1,934.69x = 2,391,980.21
  5. Step 5: Solve for x
    x = 2,391,980.21/1,934.69
  6. Step 6: Final answer
    x = 1,236.36

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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.