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Finding the Fourth Proportional to 2,299.08, 3,464.12 and 1,897.22

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Solution

The fourth proportional to 2,299.08, 3,464.12 and 1,897.22 is: 2,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.08 : 3,464.12 = 1,897.22 : x
  2. Step 2: Convert to fraction form
    2,299.08/3,464.12 = 1,897.22/x
  3. Step 3: Cross multiply
    2,299.08x = 3,464.12 × 1,897.22
  4. Step 4: Simplify right side
    2,299.08x = 6,572,200.48
  5. Step 5: Solve for x
    x = 6,572,200.48/2,299.08
  6. Step 6: Final answer
    x = 2,858.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.