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Finding the Fourth Proportional to 2,363.16, 3,260.71 and 1,523.70

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Solution

The fourth proportional to 2,363.16, 3,260.71 and 1,523.70 is: 2,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.16 : 3,260.71 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    2,363.16/3,260.71 = 1,523.70/x
  3. Step 3: Cross multiply
    2,363.16x = 3,260.71 × 1,523.70
  4. Step 4: Simplify right side
    2,363.16x = 4,968,343.83
  5. Step 5: Solve for x
    x = 4,968,343.83/2,363.16
  6. Step 6: Final answer
    x = 2,102.42

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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.