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Finding the Fourth Proportional to 1,232.55, 1,849.23 and 1,142.64

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Solution

The fourth proportional to 1,232.55, 1,849.23 and 1,142.64 is: 1,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.55 : 1,849.23 = 1,142.64 : x
  2. Step 2: Convert to fraction form
    1,232.55/1,849.23 = 1,142.64/x
  3. Step 3: Cross multiply
    1,232.55x = 1,849.23 × 1,142.64
  4. Step 4: Simplify right side
    1,232.55x = 2,113,004.17
  5. Step 5: Solve for x
    x = 2,113,004.17/1,232.55
  6. Step 6: Final answer
    x = 1,714.34

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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.