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Finding the Fourth Proportional to 1,782.14, 2,683.12 and 1,544

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Solution

The fourth proportional to 1,782.14, 2,683.12 and 1,544 is: 2,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.14 : 2,683.12 = 1,544 : x
  2. Step 2: Convert to fraction form
    1,782.14/2,683.12 = 1,544/x
  3. Step 3: Cross multiply
    1,782.14x = 2,683.12 × 1,544
  4. Step 4: Simplify right side
    1,782.14x = 4,142,729.56
  5. Step 5: Solve for x
    x = 4,142,729.56/1,782.14
  6. Step 6: Final answer
    x = 2,324.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.