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Finding the Fourth Proportional to 1,604.96, 2,394.33 and 1,560.31

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Solution

The fourth proportional to 1,604.96, 2,394.33 and 1,560.31 is: 2,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.96 : 2,394.33 = 1,560.31 : x
  2. Step 2: Convert to fraction form
    1,604.96/2,394.33 = 1,560.31/x
  3. Step 3: Cross multiply
    1,604.96x = 2,394.33 × 1,560.31
  4. Step 4: Simplify right side
    1,604.96x = 3,735,911.84
  5. Step 5: Solve for x
    x = 3,735,911.84/1,604.96
  6. Step 6: Final answer
    x = 2,327.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.