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Finding the Fourth Proportional to 1,656.24, 2,285.61 and 993

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Solution

The fourth proportional to 1,656.24, 2,285.61 and 993 is: 1,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.24 : 2,285.61 = 993 : x
  2. Step 2: Convert to fraction form
    1,656.24/2,285.61 = 993/x
  3. Step 3: Cross multiply
    1,656.24x = 2,285.61 × 993
  4. Step 4: Simplify right side
    1,656.24x = 2,269,610.73
  5. Step 5: Solve for x
    x = 2,269,610.73/1,656.24
  6. Step 6: Final answer
    x = 1,370.34

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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.