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Finding the Fourth Proportional to 2,068.98, 3,117.72 and 1,711.80

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Solution

The fourth proportional to 2,068.98, 3,117.72 and 1,711.80 is: 2,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.98 : 3,117.72 = 1,711.80 : x
  2. Step 2: Convert to fraction form
    2,068.98/3,117.72 = 1,711.80/x
  3. Step 3: Cross multiply
    2,068.98x = 3,117.72 × 1,711.80
  4. Step 4: Simplify right side
    2,068.98x = 5,336,913.10
  5. Step 5: Solve for x
    x = 5,336,913.10/2,068.98
  6. Step 6: Final answer
    x = 2,579.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.