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Finding the Fourth Proportional to 2,337.83, 3,502.64 and 2,280.42

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Solution

The fourth proportional to 2,337.83, 3,502.64 and 2,280.42 is: 3,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.83 : 3,502.64 = 2,280.42 : x
  2. Step 2: Convert to fraction form
    2,337.83/3,502.64 = 2,280.42/x
  3. Step 3: Cross multiply
    2,337.83x = 3,502.64 × 2,280.42
  4. Step 4: Simplify right side
    2,337.83x = 7,987,496.01
  5. Step 5: Solve for x
    x = 7,987,496.01/2,337.83
  6. Step 6: Final answer
    x = 3,416.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.