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Finding the Fourth Proportional to 2,360.86, 3,260.17 and 1,523.02

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Solution

The fourth proportional to 2,360.86, 3,260.17 and 1,523.02 is: 2,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.86 : 3,260.17 = 1,523.02 : x
  2. Step 2: Convert to fraction form
    2,360.86/3,260.17 = 1,523.02/x
  3. Step 3: Cross multiply
    2,360.86x = 3,260.17 × 1,523.02
  4. Step 4: Simplify right side
    2,360.86x = 4,965,295.41
  5. Step 5: Solve for x
    x = 4,965,295.41/2,360.86
  6. Step 6: Final answer
    x = 2,103.17

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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.