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Finding the Fourth Proportional to 4,652.97, 6,980.60 and 2,184.94

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Solution

The fourth proportional to 4,652.97, 6,980.60 and 2,184.94 is: 3,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.97 : 6,980.60 = 2,184.94 : x
  2. Step 2: Convert to fraction form
    4,652.97/6,980.60 = 2,184.94/x
  3. Step 3: Cross multiply
    4,652.97x = 6,980.60 × 2,184.94
  4. Step 4: Simplify right side
    4,652.97x = 15,252,192.16
  5. Step 5: Solve for x
    x = 15,252,192.16/4,652.97
  6. Step 6: Final answer
    x = 3,277.95

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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.