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Finding the Fourth Proportional to 2,899.99, 4,349.99 and 2,038.15

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Solution

The fourth proportional to 2,899.99, 4,349.99 and 2,038.15 is: 3,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.99 : 4,349.99 = 2,038.15 : x
  2. Step 2: Convert to fraction form
    2,899.99/4,349.99 = 2,038.15/x
  3. Step 3: Cross multiply
    2,899.99x = 4,349.99 × 2,038.15
  4. Step 4: Simplify right side
    2,899.99x = 8,865,932.12
  5. Step 5: Solve for x
    x = 8,865,932.12/2,899.99
  6. Step 6: Final answer
    x = 3,057.23

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Why These Related Problems?

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