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Finding the Fourth Proportional to 1,786.90, 2,463.29 and 1,254.17

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Solution

The fourth proportional to 1,786.90, 2,463.29 and 1,254.17 is: 1,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.90 : 2,463.29 = 1,254.17 : x
  2. Step 2: Convert to fraction form
    1,786.90/2,463.29 = 1,254.17/x
  3. Step 3: Cross multiply
    1,786.90x = 2,463.29 × 1,254.17
  4. Step 4: Simplify right side
    1,786.90x = 3,089,384.42
  5. Step 5: Solve for x
    x = 3,089,384.42/1,786.90
  6. Step 6: Final answer
    x = 1,728.91

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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.