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Finding the Fourth Proportional to 2,359.35, 3,255.80 and 1,297.08

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Solution

The fourth proportional to 2,359.35, 3,255.80 and 1,297.08 is: 1,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.35 : 3,255.80 = 1,297.08 : x
  2. Step 2: Convert to fraction form
    2,359.35/3,255.80 = 1,297.08/x
  3. Step 3: Cross multiply
    2,359.35x = 3,255.80 × 1,297.08
  4. Step 4: Simplify right side
    2,359.35x = 4,223,026.58
  5. Step 5: Solve for x
    x = 4,223,026.58/2,359.35
  6. Step 6: Final answer
    x = 1,789.91

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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.