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Finding the Fourth Proportional to 3,146.47, 4,342.29 and 1,730.23

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Solution

The fourth proportional to 3,146.47, 4,342.29 and 1,730.23 is: 2,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.47 : 4,342.29 = 1,730.23 : x
  2. Step 2: Convert to fraction form
    3,146.47/4,342.29 = 1,730.23/x
  3. Step 3: Cross multiply
    3,146.47x = 4,342.29 × 1,730.23
  4. Step 4: Simplify right side
    3,146.47x = 7,513,160.43
  5. Step 5: Solve for x
    x = 7,513,160.43/3,146.47
  6. Step 6: Final answer
    x = 2,387.81

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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.