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Finding the Fourth Proportional to 1,793.94, 2,477.04 and 1,400.28

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Solution

The fourth proportional to 1,793.94, 2,477.04 and 1,400.28 is: 1,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.94 : 2,477.04 = 1,400.28 : x
  2. Step 2: Convert to fraction form
    1,793.94/2,477.04 = 1,400.28/x
  3. Step 3: Cross multiply
    1,793.94x = 2,477.04 × 1,400.28
  4. Step 4: Simplify right side
    1,793.94x = 3,468,549.57
  5. Step 5: Solve for x
    x = 3,468,549.57/1,793.94
  6. Step 6: Final answer
    x = 1,933.48

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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.