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Finding the Fourth Proportional to 3,122.77, 4,681.24 and 1,641.68

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Solution

The fourth proportional to 3,122.77, 4,681.24 and 1,641.68 is: 2,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.77 : 4,681.24 = 1,641.68 : x
  2. Step 2: Convert to fraction form
    3,122.77/4,681.24 = 1,641.68/x
  3. Step 3: Cross multiply
    3,122.77x = 4,681.24 × 1,641.68
  4. Step 4: Simplify right side
    3,122.77x = 7,685,098.08
  5. Step 5: Solve for x
    x = 7,685,098.08/3,122.77
  6. Step 6: Final answer
    x = 2,460.99

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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.