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Finding the Fourth Proportional to 3,394.24, 4,684.80 and 2,152

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Solution

The fourth proportional to 3,394.24, 4,684.80 and 2,152 is: 2,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.24 : 4,684.80 = 2,152 : x
  2. Step 2: Convert to fraction form
    3,394.24/4,684.80 = 2,152/x
  3. Step 3: Cross multiply
    3,394.24x = 4,684.80 × 2,152
  4. Step 4: Simplify right side
    3,394.24x = 10,081,689.60
  5. Step 5: Solve for x
    x = 10,081,689.60/3,394.24
  6. Step 6: Final answer
    x = 2,970.23

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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.