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Finding the Fourth Proportional to 2,366.79, 3,524.94 and 2,214.90

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Solution

The fourth proportional to 2,366.79, 3,524.94 and 2,214.90 is: 3,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.79 : 3,524.94 = 2,214.90 : x
  2. Step 2: Convert to fraction form
    2,366.79/3,524.94 = 2,214.90/x
  3. Step 3: Cross multiply
    2,366.79x = 3,524.94 × 2,214.90
  4. Step 4: Simplify right side
    2,366.79x = 7,807,389.61
  5. Step 5: Solve for x
    x = 7,807,389.61/2,366.79
  6. Step 6: Final answer
    x = 3,298.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.