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Finding the Fourth Proportional to 2,359.49, 3,535.88 and 1,738.31

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Solution

The fourth proportional to 2,359.49, 3,535.88 and 1,738.31 is: 2,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.49 : 3,535.88 = 1,738.31 : x
  2. Step 2: Convert to fraction form
    2,359.49/3,535.88 = 1,738.31/x
  3. Step 3: Cross multiply
    2,359.49x = 3,535.88 × 1,738.31
  4. Step 4: Simplify right side
    2,359.49x = 6,146,429.19
  5. Step 5: Solve for x
    x = 6,146,429.19/2,359.49
  6. Step 6: Final answer
    x = 2,604.99

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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.