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Finding the Fourth Proportional to 2,360.63, 3,538.44 and 799.13

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Solution

The fourth proportional to 2,360.63, 3,538.44 and 799.13 is: 1,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.63 : 3,538.44 = 799.13 : x
  2. Step 2: Convert to fraction form
    2,360.63/3,538.44 = 799.13/x
  3. Step 3: Cross multiply
    2,360.63x = 3,538.44 × 799.13
  4. Step 4: Simplify right side
    2,360.63x = 2,827,655.87
  5. Step 5: Solve for x
    x = 2,827,655.87/2,360.63
  6. Step 6: Final answer
    x = 1,197.84

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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.