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Finding the Fourth Proportional to 2,604.96, 3,906.03 and 1,142.40

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Solution

The fourth proportional to 2,604.96, 3,906.03 and 1,142.40 is: 1,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.96 : 3,906.03 = 1,142.40 : x
  2. Step 2: Convert to fraction form
    2,604.96/3,906.03 = 1,142.40/x
  3. Step 3: Cross multiply
    2,604.96x = 3,906.03 × 1,142.40
  4. Step 4: Simplify right side
    2,604.96x = 4,462,248.67
  5. Step 5: Solve for x
    x = 4,462,248.67/2,604.96
  6. Step 6: Final answer
    x = 1,712.98

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