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Finding the Fourth Proportional to 1,696.79, 2,544.57 and 1,332.29

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Solution

The fourth proportional to 1,696.79, 2,544.57 and 1,332.29 is: 1,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.79 : 2,544.57 = 1,332.29 : x
  2. Step 2: Convert to fraction form
    1,696.79/2,544.57 = 1,332.29/x
  3. Step 3: Cross multiply
    1,696.79x = 2,544.57 × 1,332.29
  4. Step 4: Simplify right side
    1,696.79x = 3,390,085.78
  5. Step 5: Solve for x
    x = 3,390,085.78/1,696.79
  6. Step 6: Final answer
    x = 1,997.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.