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Finding the Fourth Proportional to 2,678.13, 4,017.39 and 730.35

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Solution

The fourth proportional to 2,678.13, 4,017.39 and 730.35 is: 1,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.13 : 4,017.39 = 730.35 : x
  2. Step 2: Convert to fraction form
    2,678.13/4,017.39 = 730.35/x
  3. Step 3: Cross multiply
    2,678.13x = 4,017.39 × 730.35
  4. Step 4: Simplify right side
    2,678.13x = 2,934,100.79
  5. Step 5: Solve for x
    x = 2,934,100.79/2,678.13
  6. Step 6: Final answer
    x = 1,095.58

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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.