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Finding the Fourth Proportional to 2,573.57, 3,554.48 and 1,693.31

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Solution

The fourth proportional to 2,573.57, 3,554.48 and 1,693.31 is: 2,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.57 : 3,554.48 = 1,693.31 : x
  2. Step 2: Convert to fraction form
    2,573.57/3,554.48 = 1,693.31/x
  3. Step 3: Cross multiply
    2,573.57x = 3,554.48 × 1,693.31
  4. Step 4: Simplify right side
    2,573.57x = 6,018,822.99
  5. Step 5: Solve for x
    x = 6,018,822.99/2,573.57
  6. Step 6: Final answer
    x = 2,338.70

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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.