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Finding the Fourth Proportional to 1,605.36, 2,215.86 and 942.24

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Solution

The fourth proportional to 1,605.36, 2,215.86 and 942.24 is: 1,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.36 : 2,215.86 = 942.24 : x
  2. Step 2: Convert to fraction form
    1,605.36/2,215.86 = 942.24/x
  3. Step 3: Cross multiply
    1,605.36x = 2,215.86 × 942.24
  4. Step 4: Simplify right side
    1,605.36x = 2,087,871.93
  5. Step 5: Solve for x
    x = 2,087,871.93/1,605.36
  6. Step 6: Final answer
    x = 1,300.56

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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.