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Finding the Fourth Proportional to 2,860.06, 4,290.10 and 912.28

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Solution

The fourth proportional to 2,860.06, 4,290.10 and 912.28 is: 1,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.06 : 4,290.10 = 912.28 : x
  2. Step 2: Convert to fraction form
    2,860.06/4,290.10 = 912.28/x
  3. Step 3: Cross multiply
    2,860.06x = 4,290.10 × 912.28
  4. Step 4: Simplify right side
    2,860.06x = 3,913,772.43
  5. Step 5: Solve for x
    x = 3,913,772.43/2,860.06
  6. Step 6: Final answer
    x = 1,368.42

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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.