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Finding the Fourth Proportional to 2,359.28, 3,256.24 and 1,798.88

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Solution

The fourth proportional to 2,359.28, 3,256.24 and 1,798.88 is: 2,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.28 : 3,256.24 = 1,798.88 : x
  2. Step 2: Convert to fraction form
    2,359.28/3,256.24 = 1,798.88/x
  3. Step 3: Cross multiply
    2,359.28x = 3,256.24 × 1,798.88
  4. Step 4: Simplify right side
    2,359.28x = 5,857,585.01
  5. Step 5: Solve for x
    x = 5,857,585.01/2,359.28
  6. Step 6: Final answer
    x = 2,482.79

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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.