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Finding the Fourth Proportional to 2,294.93, 3,165.79 and 1,454.15

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Solution

The fourth proportional to 2,294.93, 3,165.79 and 1,454.15 is: 2,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.93 : 3,165.79 = 1,454.15 : x
  2. Step 2: Convert to fraction form
    2,294.93/3,165.79 = 1,454.15/x
  3. Step 3: Cross multiply
    2,294.93x = 3,165.79 × 1,454.15
  4. Step 4: Simplify right side
    2,294.93x = 4,603,533.53
  5. Step 5: Solve for x
    x = 4,603,533.53/2,294.93
  6. Step 6: Final answer
    x = 2,005.96

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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.