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Finding the Fourth Proportional to 2,368.69, 3,553.54 and 808.83

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Solution

The fourth proportional to 2,368.69, 3,553.54 and 808.83 is: 1,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.69 : 3,553.54 = 808.83 : x
  2. Step 2: Convert to fraction form
    2,368.69/3,553.54 = 808.83/x
  3. Step 3: Cross multiply
    2,368.69x = 3,553.54 × 808.83
  4. Step 4: Simplify right side
    2,368.69x = 2,874,207.74
  5. Step 5: Solve for x
    x = 2,874,207.74/2,368.69
  6. Step 6: Final answer
    x = 1,213.42

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1.5x scale

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.