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Finding the Fourth Proportional to 2,359.90, 3,249.20 and 1,798.58

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Solution

The fourth proportional to 2,359.90, 3,249.20 and 1,798.58 is: 2,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.90 : 3,249.20 = 1,798.58 : x
  2. Step 2: Convert to fraction form
    2,359.90/3,249.20 = 1,798.58/x
  3. Step 3: Cross multiply
    2,359.90x = 3,249.20 × 1,798.58
  4. Step 4: Simplify right side
    2,359.90x = 5,843,946.14
  5. Step 5: Solve for x
    x = 5,843,946.14/2,359.90
  6. Step 6: Final answer
    x = 2,476.35

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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.