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Finding the Fourth Proportional to 2,930.07, 4,395.12 and 1,949.16

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Solution

The fourth proportional to 2,930.07, 4,395.12 and 1,949.16 is: 2,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.07 : 4,395.12 = 1,949.16 : x
  2. Step 2: Convert to fraction form
    2,930.07/4,395.12 = 1,949.16/x
  3. Step 3: Cross multiply
    2,930.07x = 4,395.12 × 1,949.16
  4. Step 4: Simplify right side
    2,930.07x = 8,566,792.10
  5. Step 5: Solve for x
    x = 8,566,792.10/2,930.07
  6. Step 6: Final answer
    x = 2,923.75

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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.