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Finding the Fourth Proportional to 1,696.47, 2,544.30 and 874.32

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Solution

The fourth proportional to 1,696.47, 2,544.30 and 874.32 is: 1,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.47 : 2,544.30 = 874.32 : x
  2. Step 2: Convert to fraction form
    1,696.47/2,544.30 = 874.32/x
  3. Step 3: Cross multiply
    1,696.47x = 2,544.30 × 874.32
  4. Step 4: Simplify right side
    1,696.47x = 2,224,532.38
  5. Step 5: Solve for x
    x = 2,224,532.38/1,696.47
  6. Step 6: Final answer
    x = 1,311.27

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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.