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Finding the Fourth Proportional to 1,696.58, 2,544.19 and 1,079.45

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Solution

The fourth proportional to 1,696.58, 2,544.19 and 1,079.45 is: 1,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.58 : 2,544.19 = 1,079.45 : x
  2. Step 2: Convert to fraction form
    1,696.58/2,544.19 = 1,079.45/x
  3. Step 3: Cross multiply
    1,696.58x = 2,544.19 × 1,079.45
  4. Step 4: Simplify right side
    1,696.58x = 2,746,325.90
  5. Step 5: Solve for x
    x = 2,746,325.90/1,696.58
  6. Step 6: Final answer
    x = 1,618.74

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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.