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Finding the Fourth Proportional to 3,442.95, 4,749.50 and 2,381.81

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Solution

The fourth proportional to 3,442.95, 4,749.50 and 2,381.81 is: 3,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.95 : 4,749.50 = 2,381.81 : x
  2. Step 2: Convert to fraction form
    3,442.95/4,749.50 = 2,381.81/x
  3. Step 3: Cross multiply
    3,442.95x = 4,749.50 × 2,381.81
  4. Step 4: Simplify right side
    3,442.95x = 11,312,370.94
  5. Step 5: Solve for x
    x = 11,312,370.94/3,442.95
  6. Step 6: Final answer
    x = 3,285.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.