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Finding the Fourth Proportional to 2,897.94, 4,000.89 and 1,904.88

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Solution

The fourth proportional to 2,897.94, 4,000.89 and 1,904.88 is: 2,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.94 : 4,000.89 = 1,904.88 : x
  2. Step 2: Convert to fraction form
    2,897.94/4,000.89 = 1,904.88/x
  3. Step 3: Cross multiply
    2,897.94x = 4,000.89 × 1,904.88
  4. Step 4: Simplify right side
    2,897.94x = 7,621,215.34
  5. Step 5: Solve for x
    x = 7,621,215.34/2,897.94
  6. Step 6: Final answer
    x = 2,629.87

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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.