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Finding the Fourth Proportional to 1,696.97, 2,342.96 and 1,059.89

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Solution

The fourth proportional to 1,696.97, 2,342.96 and 1,059.89 is: 1,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.97 : 2,342.96 = 1,059.89 : x
  2. Step 2: Convert to fraction form
    1,696.97/2,342.96 = 1,059.89/x
  3. Step 3: Cross multiply
    1,696.97x = 2,342.96 × 1,059.89
  4. Step 4: Simplify right side
    1,696.97x = 2,483,270.81
  5. Step 5: Solve for x
    x = 2,483,270.81/1,696.97
  6. Step 6: Final answer
    x = 1,463.35

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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.