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Finding the Fourth Proportional to 2,004.13, 3,006.15 and 618

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Solution

The fourth proportional to 2,004.13, 3,006.15 and 618 is: 926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.13 : 3,006.15 = 618 : x
  2. Step 2: Convert to fraction form
    2,004.13/3,006.15 = 618/x
  3. Step 3: Cross multiply
    2,004.13x = 3,006.15 × 618
  4. Step 4: Simplify right side
    2,004.13x = 1,857,800.70
  5. Step 5: Solve for x
    x = 1,857,800.70/2,004.13
  6. Step 6: Final answer
    x = 926.99

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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.