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Finding the Fourth Proportional to 2,354.64, 3,515.03 and 2,183.76

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Solution

The fourth proportional to 2,354.64, 3,515.03 and 2,183.76 is: 3,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.64 : 3,515.03 = 2,183.76 : x
  2. Step 2: Convert to fraction form
    2,354.64/3,515.03 = 2,183.76/x
  3. Step 3: Cross multiply
    2,354.64x = 3,515.03 × 2,183.76
  4. Step 4: Simplify right side
    2,354.64x = 7,675,981.91
  5. Step 5: Solve for x
    x = 7,675,981.91/2,354.64
  6. Step 6: Final answer
    x = 3,259.94

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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.