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Finding the Fourth Proportional to 2,157.69, 3,233.91 and 1,898.21

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Solution

The fourth proportional to 2,157.69, 3,233.91 and 1,898.21 is: 2,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.69 : 3,233.91 = 1,898.21 : x
  2. Step 2: Convert to fraction form
    2,157.69/3,233.91 = 1,898.21/x
  3. Step 3: Cross multiply
    2,157.69x = 3,233.91 × 1,898.21
  4. Step 4: Simplify right side
    2,157.69x = 6,138,643.74
  5. Step 5: Solve for x
    x = 6,138,643.74/2,157.69
  6. Step 6: Final answer
    x = 2,845.01

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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.