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Finding the Fourth Proportional to 2,153.40, 2,954.60 and 2,098.12

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Solution

The fourth proportional to 2,153.40, 2,954.60 and 2,098.12 is: 2,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.40 : 2,954.60 = 2,098.12 : x
  2. Step 2: Convert to fraction form
    2,153.40/2,954.60 = 2,098.12/x
  3. Step 3: Cross multiply
    2,153.40x = 2,954.60 × 2,098.12
  4. Step 4: Simplify right side
    2,153.40x = 6,199,105.35
  5. Step 5: Solve for x
    x = 6,199,105.35/2,153.40
  6. Step 6: Final answer
    x = 2,878.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.