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Finding the Fourth Proportional to 3,129.74, 4,316.63 and 2,185.22

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Solution

The fourth proportional to 3,129.74, 4,316.63 and 2,185.22 is: 3,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.74 : 4,316.63 = 2,185.22 : x
  2. Step 2: Convert to fraction form
    3,129.74/4,316.63 = 2,185.22/x
  3. Step 3: Cross multiply
    3,129.74x = 4,316.63 × 2,185.22
  4. Step 4: Simplify right side
    3,129.74x = 9,432,786.21
  5. Step 5: Solve for x
    x = 9,432,786.21/3,129.74
  6. Step 6: Final answer
    x = 3,013.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.