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Finding the Fourth Proportional to 2,899.64, 4,000.17 and 1,904.56

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Solution

The fourth proportional to 2,899.64, 4,000.17 and 1,904.56 is: 2,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.64 : 4,000.17 = 1,904.56 : x
  2. Step 2: Convert to fraction form
    2,899.64/4,000.17 = 1,904.56/x
  3. Step 3: Cross multiply
    2,899.64x = 4,000.17 × 1,904.56
  4. Step 4: Simplify right side
    2,899.64x = 7,618,534.25
  5. Step 5: Solve for x
    x = 7,618,534.25/2,899.64
  6. Step 6: Final answer
    x = 2,627.41

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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.