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Finding the Fourth Proportional to 2,294.95, 3,454.89 and 2,056.81

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Solution

The fourth proportional to 2,294.95, 3,454.89 and 2,056.81 is: 3,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.95 : 3,454.89 = 2,056.81 : x
  2. Step 2: Convert to fraction form
    2,294.95/3,454.89 = 2,056.81/x
  3. Step 3: Cross multiply
    2,294.95x = 3,454.89 × 2,056.81
  4. Step 4: Simplify right side
    2,294.95x = 7,106,052.30
  5. Step 5: Solve for x
    x = 7,106,052.30/2,294.95
  6. Step 6: Final answer
    x = 3,096.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.