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Finding the Fourth Proportional to 2,084.70, 3,111.20 and 1,916.70

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Solution

The fourth proportional to 2,084.70, 3,111.20 and 1,916.70 is: 2,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.70 : 3,111.20 = 1,916.70 : x
  2. Step 2: Convert to fraction form
    2,084.70/3,111.20 = 1,916.70/x
  3. Step 3: Cross multiply
    2,084.70x = 3,111.20 × 1,916.70
  4. Step 4: Simplify right side
    2,084.70x = 5,963,227.46
  5. Step 5: Solve for x
    x = 5,963,227.46/2,084.70
  6. Step 6: Final answer
    x = 2,860.47

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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.