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Finding the Fourth Proportional to 2,210.55, 3,046.89 and 1,896.17

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Solution

The fourth proportional to 2,210.55, 3,046.89 and 1,896.17 is: 2,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.55 : 3,046.89 = 1,896.17 : x
  2. Step 2: Convert to fraction form
    2,210.55/3,046.89 = 1,896.17/x
  3. Step 3: Cross multiply
    2,210.55x = 3,046.89 × 1,896.17
  4. Step 4: Simplify right side
    2,210.55x = 5,777,421.41
  5. Step 5: Solve for x
    x = 5,777,421.41/2,210.55
  6. Step 6: Final answer
    x = 2,613.57

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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.