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Finding the Fourth Proportional to 2,153.44, 2,971.23 and 1,256.64

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Solution

The fourth proportional to 2,153.44, 2,971.23 and 1,256.64 is: 1,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.44 : 2,971.23 = 1,256.64 : x
  2. Step 2: Convert to fraction form
    2,153.44/2,971.23 = 1,256.64/x
  3. Step 3: Cross multiply
    2,153.44x = 2,971.23 × 1,256.64
  4. Step 4: Simplify right side
    2,153.44x = 3,733,766.47
  5. Step 5: Solve for x
    x = 3,733,766.47/2,153.44
  6. Step 6: Final answer
    x = 1,733.86

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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.