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Finding the Fourth Proportional to 2,302.95, 3,178.77 and 2,185.41

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Solution

The fourth proportional to 2,302.95, 3,178.77 and 2,185.41 is: 3,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.95 : 3,178.77 = 2,185.41 : x
  2. Step 2: Convert to fraction form
    2,302.95/3,178.77 = 2,185.41/x
  3. Step 3: Cross multiply
    2,302.95x = 3,178.77 × 2,185.41
  4. Step 4: Simplify right side
    2,302.95x = 6,946,915.75
  5. Step 5: Solve for x
    x = 6,946,915.75/2,302.95
  6. Step 6: Final answer
    x = 3,016.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.