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Finding the Fourth Proportional to 3,146.60, 4,342.26 and 1,730.22

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Solution

The fourth proportional to 3,146.60, 4,342.26 and 1,730.22 is: 2,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.60 : 4,342.26 = 1,730.22 : x
  2. Step 2: Convert to fraction form
    3,146.60/4,342.26 = 1,730.22/x
  3. Step 3: Cross multiply
    3,146.60x = 4,342.26 × 1,730.22
  4. Step 4: Simplify right side
    3,146.60x = 7,513,065.10
  5. Step 5: Solve for x
    x = 7,513,065.10/3,146.60
  6. Step 6: Final answer
    x = 2,387.68

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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.