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Finding the Fourth Proportional to 2,098.40, 2,895.42 and 1,213.88

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Solution

The fourth proportional to 2,098.40, 2,895.42 and 1,213.88 is: 1,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.40 : 2,895.42 = 1,213.88 : x
  2. Step 2: Convert to fraction form
    2,098.40/2,895.42 = 1,213.88/x
  3. Step 3: Cross multiply
    2,098.40x = 2,895.42 × 1,213.88
  4. Step 4: Simplify right side
    2,098.40x = 3,514,692.43
  5. Step 5: Solve for x
    x = 3,514,692.43/2,098.40
  6. Step 6: Final answer
    x = 1,674.94

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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.