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Finding the Fourth Proportional to 1,693.89, 2,553.53 and 1,581.00

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Solution

The fourth proportional to 1,693.89, 2,553.53 and 1,581.00 is: 2,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.89 : 2,553.53 = 1,581.00 : x
  2. Step 2: Convert to fraction form
    1,693.89/2,553.53 = 1,581.00/x
  3. Step 3: Cross multiply
    1,693.89x = 2,553.53 × 1,581.00
  4. Step 4: Simplify right side
    1,693.89x = 4,037,130.09
  5. Step 5: Solve for x
    x = 4,037,130.09/1,693.89
  6. Step 6: Final answer
    x = 2,383.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.