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Finding the Fourth Proportional to 2,360.81, 3,257.70 and 1,298.58

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Solution

The fourth proportional to 2,360.81, 3,257.70 and 1,298.58 is: 1,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.81 : 3,257.70 = 1,298.58 : x
  2. Step 2: Convert to fraction form
    2,360.81/3,257.70 = 1,298.58/x
  3. Step 3: Cross multiply
    2,360.81x = 3,257.70 × 1,298.58
  4. Step 4: Simplify right side
    2,360.81x = 4,230,361.28
  5. Step 5: Solve for x
    x = 4,230,361.28/2,360.81
  6. Step 6: Final answer
    x = 1,791.91

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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.