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Finding the Fourth Proportional to 3,173.93, 4,758.29 and 2,130.74

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Solution

The fourth proportional to 3,173.93, 4,758.29 and 2,130.74 is: 3,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.93 : 4,758.29 = 2,130.74 : x
  2. Step 2: Convert to fraction form
    3,173.93/4,758.29 = 2,130.74/x
  3. Step 3: Cross multiply
    3,173.93x = 4,758.29 × 2,130.74
  4. Step 4: Simplify right side
    3,173.93x = 10,138,644.39
  5. Step 5: Solve for x
    x = 10,138,644.39/3,173.93
  6. Step 6: Final answer
    x = 3,194.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.