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Finding the Fourth Proportional to 2,652.41, 3,971.22 and 1,725.65

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Solution

The fourth proportional to 2,652.41, 3,971.22 and 1,725.65 is: 2,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.41 : 3,971.22 = 1,725.65 : x
  2. Step 2: Convert to fraction form
    2,652.41/3,971.22 = 1,725.65/x
  3. Step 3: Cross multiply
    2,652.41x = 3,971.22 × 1,725.65
  4. Step 4: Simplify right side
    2,652.41x = 6,852,935.79
  5. Step 5: Solve for x
    x = 6,852,935.79/2,652.41
  6. Step 6: Final answer
    x = 2,583.66

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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.