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Finding the Fourth Proportional to 1,473.73, 2,033.07 and 942.35

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Solution

The fourth proportional to 1,473.73, 2,033.07 and 942.35 is: 1,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.73 : 2,033.07 = 942.35 : x
  2. Step 2: Convert to fraction form
    1,473.73/2,033.07 = 942.35/x
  3. Step 3: Cross multiply
    1,473.73x = 2,033.07 × 942.35
  4. Step 4: Simplify right side
    1,473.73x = 1,915,849.82
  5. Step 5: Solve for x
    x = 1,915,849.82/1,473.73
  6. Step 6: Final answer
    x = 1,300.00

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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.