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Finding the Fourth Proportional to 2,495.63, 3,743.43 and 1,261.34

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Solution

The fourth proportional to 2,495.63, 3,743.43 and 1,261.34 is: 1,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.63 : 3,743.43 = 1,261.34 : x
  2. Step 2: Convert to fraction form
    2,495.63/3,743.43 = 1,261.34/x
  3. Step 3: Cross multiply
    2,495.63x = 3,743.43 × 1,261.34
  4. Step 4: Simplify right side
    2,495.63x = 4,721,719.28
  5. Step 5: Solve for x
    x = 4,721,719.28/2,495.63
  6. Step 6: Final answer
    x = 1,892.00

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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.