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Finding the Fourth Proportional to 1,696.81, 2,338.62 and 1,460.17

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Solution

The fourth proportional to 1,696.81, 2,338.62 and 1,460.17 is: 2,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.81 : 2,338.62 = 1,460.17 : x
  2. Step 2: Convert to fraction form
    1,696.81/2,338.62 = 1,460.17/x
  3. Step 3: Cross multiply
    1,696.81x = 2,338.62 × 1,460.17
  4. Step 4: Simplify right side
    1,696.81x = 3,414,782.77
  5. Step 5: Solve for x
    x = 3,414,782.77/1,696.81
  6. Step 6: Final answer
    x = 2,012.47

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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.