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Finding the Fourth Proportional to 2,895.60, 4,343.12 and 815.57

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Solution

The fourth proportional to 2,895.60, 4,343.12 and 815.57 is: 1,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.60 : 4,343.12 = 815.57 : x
  2. Step 2: Convert to fraction form
    2,895.60/4,343.12 = 815.57/x
  3. Step 3: Cross multiply
    2,895.60x = 4,343.12 × 815.57
  4. Step 4: Simplify right side
    2,895.60x = 3,542,131.28
  5. Step 5: Solve for x
    x = 3,542,131.28/2,895.60
  6. Step 6: Final answer
    x = 1,223.28

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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.