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Finding the Fourth Proportional to 1,786.71, 2,680.49 and 554.10

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Solution

The fourth proportional to 1,786.71, 2,680.49 and 554.10 is: 831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.71 : 2,680.49 = 554.10 : x
  2. Step 2: Convert to fraction form
    1,786.71/2,680.49 = 554.10/x
  3. Step 3: Cross multiply
    1,786.71x = 2,680.49 × 554.10
  4. Step 4: Simplify right side
    1,786.71x = 1,485,256.74
  5. Step 5: Solve for x
    x = 1,485,256.74/1,786.71
  6. Step 6: Final answer
    x = 831.28

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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.