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Finding the Fourth Proportional to 3,167.37, 4,750.77 and 1,412.46

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Solution

The fourth proportional to 3,167.37, 4,750.77 and 1,412.46 is: 2,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.37 : 4,750.77 = 1,412.46 : x
  2. Step 2: Convert to fraction form
    3,167.37/4,750.77 = 1,412.46/x
  3. Step 3: Cross multiply
    3,167.37x = 4,750.77 × 1,412.46
  4. Step 4: Simplify right side
    3,167.37x = 6,710,272.59
  5. Step 5: Solve for x
    x = 6,710,272.59/3,167.37
  6. Step 6: Final answer
    x = 2,118.56

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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.