Home / 1,605.18-2,214.95-942.00

Finding the Fourth Proportional to 1,605.18, 2,214.95 and 942.00

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Solution

The fourth proportional to 1,605.18, 2,214.95 and 942.00 is: 1,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.18 : 2,214.95 = 942.00 : x
  2. Step 2: Convert to fraction form
    1,605.18/2,214.95 = 942.00/x
  3. Step 3: Cross multiply
    1,605.18x = 2,214.95 × 942.00
  4. Step 4: Simplify right side
    1,605.18x = 2,086,469.88
  5. Step 5: Solve for x
    x = 2,086,469.88/1,605.18
  6. Step 6: Final answer
    x = 1,299.83

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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.