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Finding the Fourth Proportional to 1,550.68, 2,326.42 and 900.86

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Solution

The fourth proportional to 1,550.68, 2,326.42 and 900.86 is: 1,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.68 : 2,326.42 = 900.86 : x
  2. Step 2: Convert to fraction form
    1,550.68/2,326.42 = 900.86/x
  3. Step 3: Cross multiply
    1,550.68x = 2,326.42 × 900.86
  4. Step 4: Simplify right side
    1,550.68x = 2,095,767.09
  5. Step 5: Solve for x
    x = 2,095,767.09/1,550.68
  6. Step 6: Final answer
    x = 1,351.52

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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.