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Finding the Fourth Proportional to 1,693.89, 2,539.53 and 815.94

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Solution

The fourth proportional to 1,693.89, 2,539.53 and 815.94 is: 1,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.89 : 2,539.53 = 815.94 : x
  2. Step 2: Convert to fraction form
    1,693.89/2,539.53 = 815.94/x
  3. Step 3: Cross multiply
    1,693.89x = 2,539.53 × 815.94
  4. Step 4: Simplify right side
    1,693.89x = 2,072,104.11
  5. Step 5: Solve for x
    x = 2,072,104.11/1,693.89
  6. Step 6: Final answer
    x = 1,223.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.