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Finding the Fourth Proportional to 2,393.63, 3,591.36 and 933.20

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Solution

The fourth proportional to 2,393.63, 3,591.36 and 933.20 is: 1,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.63 : 3,591.36 = 933.20 : x
  2. Step 2: Convert to fraction form
    2,393.63/3,591.36 = 933.20/x
  3. Step 3: Cross multiply
    2,393.63x = 3,591.36 × 933.20
  4. Step 4: Simplify right side
    2,393.63x = 3,351,457.15
  5. Step 5: Solve for x
    x = 3,351,457.15/2,393.63
  6. Step 6: Final answer
    x = 1,400.16

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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.