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Finding the Fourth Proportional to 2,409.63, 3,610.77 and 1,717.75

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Solution

The fourth proportional to 2,409.63, 3,610.77 and 1,717.75 is: 2,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.63 : 3,610.77 = 1,717.75 : x
  2. Step 2: Convert to fraction form
    2,409.63/3,610.77 = 1,717.75/x
  3. Step 3: Cross multiply
    2,409.63x = 3,610.77 × 1,717.75
  4. Step 4: Simplify right side
    2,409.63x = 6,202,400.17
  5. Step 5: Solve for x
    x = 6,202,400.17/2,409.63
  6. Step 6: Final answer
    x = 2,574.01

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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.