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Finding the Fourth Proportional to 1,593.69, 2,388.52 and 900.75

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Solution

The fourth proportional to 1,593.69, 2,388.52 and 900.75 is: 1,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.69 : 2,388.52 = 900.75 : x
  2. Step 2: Convert to fraction form
    1,593.69/2,388.52 = 900.75/x
  3. Step 3: Cross multiply
    1,593.69x = 2,388.52 × 900.75
  4. Step 4: Simplify right side
    1,593.69x = 2,151,460.52
  5. Step 5: Solve for x
    x = 2,151,460.52/1,593.69
  6. Step 6: Final answer
    x = 1,349.98

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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.