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Finding the Fourth Proportional to 1,696.26, 2,340.69 and 997.50

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Solution

The fourth proportional to 1,696.26, 2,340.69 and 997.50 is: 1,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.26 : 2,340.69 = 997.50 : x
  2. Step 2: Convert to fraction form
    1,696.26/2,340.69 = 997.50/x
  3. Step 3: Cross multiply
    1,696.26x = 2,340.69 × 997.50
  4. Step 4: Simplify right side
    1,696.26x = 2,334,838.28
  5. Step 5: Solve for x
    x = 2,334,838.28/1,696.26
  6. Step 6: Final answer
    x = 1,376.46

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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.