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Finding the Fourth Proportional to 3,078.13, 4,617.19 and 1,026.13

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Solution

The fourth proportional to 3,078.13, 4,617.19 and 1,026.13 is: 1,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.13 : 4,617.19 = 1,026.13 : x
  2. Step 2: Convert to fraction form
    3,078.13/4,617.19 = 1,026.13/x
  3. Step 3: Cross multiply
    3,078.13x = 4,617.19 × 1,026.13
  4. Step 4: Simplify right side
    3,078.13x = 4,737,837.17
  5. Step 5: Solve for x
    x = 4,737,837.17/3,078.13
  6. Step 6: Final answer
    x = 1,539.19

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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.