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Finding the Fourth Proportional to 2,068.74, 3,084.68 and 2,043.23

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Solution

The fourth proportional to 2,068.74, 3,084.68 and 2,043.23 is: 3,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.74 : 3,084.68 = 2,043.23 : x
  2. Step 2: Convert to fraction form
    2,068.74/3,084.68 = 2,043.23/x
  3. Step 3: Cross multiply
    2,068.74x = 3,084.68 × 2,043.23
  4. Step 4: Simplify right side
    2,068.74x = 6,302,700.40
  5. Step 5: Solve for x
    x = 6,302,700.40/2,068.74
  6. Step 6: Final answer
    x = 3,046.64

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Why These Related Problems?

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