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Finding the Fourth Proportional to 1,593.83, 2,392.01 and 901.16

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Solution

The fourth proportional to 1,593.83, 2,392.01 and 901.16 is: 1,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.83 : 2,392.01 = 901.16 : x
  2. Step 2: Convert to fraction form
    1,593.83/2,392.01 = 901.16/x
  3. Step 3: Cross multiply
    1,593.83x = 2,392.01 × 901.16
  4. Step 4: Simplify right side
    1,593.83x = 2,155,583.73
  5. Step 5: Solve for x
    x = 2,155,583.73/1,593.83
  6. Step 6: Final answer
    x = 1,352.46

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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.