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Finding the Fourth Proportional to 1,789.11, 2,468.14 and 1,042.63

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Solution

The fourth proportional to 1,789.11, 2,468.14 and 1,042.63 is: 1,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.11 : 2,468.14 = 1,042.63 : x
  2. Step 2: Convert to fraction form
    1,789.11/2,468.14 = 1,042.63/x
  3. Step 3: Cross multiply
    1,789.11x = 2,468.14 × 1,042.63
  4. Step 4: Simplify right side
    1,789.11x = 2,573,356.81
  5. Step 5: Solve for x
    x = 2,573,356.81/1,789.11
  6. Step 6: Final answer
    x = 1,438.34

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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.