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Finding the Fourth Proportional to 2,610.14, 3,602.16 and 1,724.40

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Solution

The fourth proportional to 2,610.14, 3,602.16 and 1,724.40 is: 2,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.14 : 3,602.16 = 1,724.40 : x
  2. Step 2: Convert to fraction form
    2,610.14/3,602.16 = 1,724.40/x
  3. Step 3: Cross multiply
    2,610.14x = 3,602.16 × 1,724.40
  4. Step 4: Simplify right side
    2,610.14x = 6,211,564.70
  5. Step 5: Solve for x
    x = 6,211,564.70/2,610.14
  6. Step 6: Final answer
    x = 2,379.78

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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.