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Finding the Fourth Proportional to 2,256.51, 3,384.64 and 1,319.97

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Solution

The fourth proportional to 2,256.51, 3,384.64 and 1,319.97 is: 1,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.51 : 3,384.64 = 1,319.97 : x
  2. Step 2: Convert to fraction form
    2,256.51/3,384.64 = 1,319.97/x
  3. Step 3: Cross multiply
    2,256.51x = 3,384.64 × 1,319.97
  4. Step 4: Simplify right side
    2,256.51x = 4,467,618.10
  5. Step 5: Solve for x
    x = 4,467,618.10/2,256.51
  6. Step 6: Final answer
    x = 1,979.88

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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.