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Finding the Fourth Proportional to 3,146.71, 4,342.20 and 1,820.50

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Solution

The fourth proportional to 3,146.71, 4,342.20 and 1,820.50 is: 2,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.71 : 4,342.20 = 1,820.50 : x
  2. Step 2: Convert to fraction form
    3,146.71/4,342.20 = 1,820.50/x
  3. Step 3: Cross multiply
    3,146.71x = 4,342.20 × 1,820.50
  4. Step 4: Simplify right side
    3,146.71x = 7,904,975.10
  5. Step 5: Solve for x
    x = 7,904,975.10/3,146.71
  6. Step 6: Final answer
    x = 2,512.14

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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.