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Finding the Fourth Proportional to 1,365.42, 2,057.34 and 1,127.28

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Solution

The fourth proportional to 1,365.42, 2,057.34 and 1,127.28 is: 1,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.42 : 2,057.34 = 1,127.28 : x
  2. Step 2: Convert to fraction form
    1,365.42/2,057.34 = 1,127.28/x
  3. Step 3: Cross multiply
    1,365.42x = 2,057.34 × 1,127.28
  4. Step 4: Simplify right side
    1,365.42x = 2,319,198.24
  5. Step 5: Solve for x
    x = 2,319,198.24/1,365.42
  6. Step 6: Final answer
    x = 1,698.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.