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Finding the Fourth Proportional to 2,458.35, 3,394.93 and 2,102.21

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Solution

The fourth proportional to 2,458.35, 3,394.93 and 2,102.21 is: 2,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.35 : 3,394.93 = 2,102.21 : x
  2. Step 2: Convert to fraction form
    2,458.35/3,394.93 = 2,102.21/x
  3. Step 3: Cross multiply
    2,458.35x = 3,394.93 × 2,102.21
  4. Step 4: Simplify right side
    2,458.35x = 7,136,850.54
  5. Step 5: Solve for x
    x = 7,136,850.54/2,458.35
  6. Step 6: Final answer
    x = 2,903.10

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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.