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Finding the Fourth Proportional to 2,696.58, 3,719.16 and 2,097.90

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Solution

The fourth proportional to 2,696.58, 3,719.16 and 2,097.90 is: 2,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.58 : 3,719.16 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    2,696.58/3,719.16 = 2,097.90/x
  3. Step 3: Cross multiply
    2,696.58x = 3,719.16 × 2,097.90
  4. Step 4: Simplify right side
    2,696.58x = 7,802,425.76
  5. Step 5: Solve for x
    x = 7,802,425.76/2,696.58
  6. Step 6: Final answer
    x = 2,893.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.