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Finding the Fourth Proportional to 2,256.48, 3,384.78 and 1,086.30

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Solution

The fourth proportional to 2,256.48, 3,384.78 and 1,086.30 is: 1,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.48 : 3,384.78 = 1,086.30 : x
  2. Step 2: Convert to fraction form
    2,256.48/3,384.78 = 1,086.30/x
  3. Step 3: Cross multiply
    2,256.48x = 3,384.78 × 1,086.30
  4. Step 4: Simplify right side
    2,256.48x = 3,676,886.51
  5. Step 5: Solve for x
    x = 3,676,886.51/2,256.48
  6. Step 6: Final answer
    x = 1,629.48

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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.