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Finding the Fourth Proportional to 2,153.42, 2,969.97 and 1,445.39

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Solution

The fourth proportional to 2,153.42, 2,969.97 and 1,445.39 is: 1,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.42 : 2,969.97 = 1,445.39 : x
  2. Step 2: Convert to fraction form
    2,153.42/2,969.97 = 1,445.39/x
  3. Step 3: Cross multiply
    2,153.42x = 2,969.97 × 1,445.39
  4. Step 4: Simplify right side
    2,153.42x = 4,292,764.94
  5. Step 5: Solve for x
    x = 4,292,764.94/2,153.42
  6. Step 6: Final answer
    x = 1,993.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.