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Finding the Fourth Proportional to 1,724.16, 2,571.51 and 1,465.86

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Solution

The fourth proportional to 1,724.16, 2,571.51 and 1,465.86 is: 2,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.16 : 2,571.51 = 1,465.86 : x
  2. Step 2: Convert to fraction form
    1,724.16/2,571.51 = 1,465.86/x
  3. Step 3: Cross multiply
    1,724.16x = 2,571.51 × 1,465.86
  4. Step 4: Simplify right side
    1,724.16x = 3,769,473.65
  5. Step 5: Solve for x
    x = 3,769,473.65/1,724.16
  6. Step 6: Final answer
    x = 2,186.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.