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Finding the Fourth Proportional to 3,254.63, 4,878.95 and 1,174.14

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Solution

The fourth proportional to 3,254.63, 4,878.95 and 1,174.14 is: 1,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.63 : 4,878.95 = 1,174.14 : x
  2. Step 2: Convert to fraction form
    3,254.63/4,878.95 = 1,174.14/x
  3. Step 3: Cross multiply
    3,254.63x = 4,878.95 × 1,174.14
  4. Step 4: Simplify right side
    3,254.63x = 5,728,564.48
  5. Step 5: Solve for x
    x = 5,728,564.48/3,254.63
  6. Step 6: Final answer
    x = 1,760.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.