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Finding the Fourth Proportional to 2,812.19, 4,200.75 and 2,083.19

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Solution

The fourth proportional to 2,812.19, 4,200.75 and 2,083.19 is: 3,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.19 : 4,200.75 = 2,083.19 : x
  2. Step 2: Convert to fraction form
    2,812.19/4,200.75 = 2,083.19/x
  3. Step 3: Cross multiply
    2,812.19x = 4,200.75 × 2,083.19
  4. Step 4: Simplify right side
    2,812.19x = 8,750,931.58
  5. Step 5: Solve for x
    x = 8,750,931.58/2,812.19
  6. Step 6: Final answer
    x = 3,111.79

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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.