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Finding the Fourth Proportional to 2,823.66, 4,212 and 2,364.39

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Solution

The fourth proportional to 2,823.66, 4,212 and 2,364.39 is: 3,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.66 : 4,212 = 2,364.39 : x
  2. Step 2: Convert to fraction form
    2,823.66/4,212 = 2,364.39/x
  3. Step 3: Cross multiply
    2,823.66x = 4,212 × 2,364.39
  4. Step 4: Simplify right side
    2,823.66x = 9,958,810.68
  5. Step 5: Solve for x
    x = 9,958,810.68/2,823.66
  6. Step 6: Final answer
    x = 3,526.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.