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Finding the Fourth Proportional to 2,895.18, 4,342.74 and 815.08

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Solution

The fourth proportional to 2,895.18, 4,342.74 and 815.08 is: 1,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.18 : 4,342.74 = 815.08 : x
  2. Step 2: Convert to fraction form
    2,895.18/4,342.74 = 815.08/x
  3. Step 3: Cross multiply
    2,895.18x = 4,342.74 × 815.08
  4. Step 4: Simplify right side
    2,895.18x = 3,539,677.04
  5. Step 5: Solve for x
    x = 3,539,677.04/2,895.18
  6. Step 6: Final answer
    x = 1,222.61

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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.