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Finding the Fourth Proportional to 3,140.67, 4,712.22 and 1,292.66

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Solution

The fourth proportional to 3,140.67, 4,712.22 and 1,292.66 is: 1,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.67 : 4,712.22 = 1,292.66 : x
  2. Step 2: Convert to fraction form
    3,140.67/4,712.22 = 1,292.66/x
  3. Step 3: Cross multiply
    3,140.67x = 4,712.22 × 1,292.66
  4. Step 4: Simplify right side
    3,140.67x = 6,091,274.74
  5. Step 5: Solve for x
    x = 6,091,274.74/3,140.67
  6. Step 6: Final answer
    x = 1,939.48

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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.