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Finding the Fourth Proportional to 3,129.74, 4,696.24 and 2,271.14

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Solution

The fourth proportional to 3,129.74, 4,696.24 and 2,271.14 is: 3,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.74 : 4,696.24 = 2,271.14 : x
  2. Step 2: Convert to fraction form
    3,129.74/4,696.24 = 2,271.14/x
  3. Step 3: Cross multiply
    3,129.74x = 4,696.24 × 2,271.14
  4. Step 4: Simplify right side
    3,129.74x = 10,665,818.51
  5. Step 5: Solve for x
    x = 10,665,818.51/3,129.74
  6. Step 6: Final answer
    x = 3,407.89

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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.