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Finding the Fourth Proportional to 1,864.68, 2,571.86 and 1,781.96

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Solution

The fourth proportional to 1,864.68, 2,571.86 and 1,781.96 is: 2,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.68 : 2,571.86 = 1,781.96 : x
  2. Step 2: Convert to fraction form
    1,864.68/2,571.86 = 1,781.96/x
  3. Step 3: Cross multiply
    1,864.68x = 2,571.86 × 1,781.96
  4. Step 4: Simplify right side
    1,864.68x = 4,582,951.65
  5. Step 5: Solve for x
    x = 4,582,951.65/1,864.68
  6. Step 6: Final answer
    x = 2,457.77

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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.