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Finding the Fourth Proportional to 1,696.40, 2,544.60 and 1,429.10

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Solution

The fourth proportional to 1,696.40, 2,544.60 and 1,429.10 is: 2,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.40 : 2,544.60 = 1,429.10 : x
  2. Step 2: Convert to fraction form
    1,696.40/2,544.60 = 1,429.10/x
  3. Step 3: Cross multiply
    1,696.40x = 2,544.60 × 1,429.10
  4. Step 4: Simplify right side
    1,696.40x = 3,636,487.86
  5. Step 5: Solve for x
    x = 3,636,487.86/1,696.40
  6. Step 6: Final answer
    x = 2,143.65

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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.