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Finding the Fourth Proportional to 2,164.06, 3,248.82 and 1,730.71

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Solution

The fourth proportional to 2,164.06, 3,248.82 and 1,730.71 is: 2,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.06 : 3,248.82 = 1,730.71 : x
  2. Step 2: Convert to fraction form
    2,164.06/3,248.82 = 1,730.71/x
  3. Step 3: Cross multiply
    2,164.06x = 3,248.82 × 1,730.71
  4. Step 4: Simplify right side
    2,164.06x = 5,622,765.26
  5. Step 5: Solve for x
    x = 5,622,765.26/2,164.06
  6. Step 6: Final answer
    x = 2,598.25

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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.