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Finding the Fourth Proportional to 3,078, 4,617.04 and 1,026

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Solution

The fourth proportional to 3,078, 4,617.04 and 1,026 is: 1,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,617.04 = 1,026 : x
  2. Step 2: Convert to fraction form
    3,078/4,617.04 = 1,026/x
  3. Step 3: Cross multiply
    3,078x = 4,617.04 × 1,026
  4. Step 4: Simplify right side
    3,078x = 4,737,083.04
  5. Step 5: Solve for x
    x = 4,737,083.04/3,078
  6. Step 6: Final answer
    x = 1,539.01

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Why These Related Problems?

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