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Finding the Fourth Proportional to 2,409.35, 3,583.04 and 2,354.67

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Solution

The fourth proportional to 2,409.35, 3,583.04 and 2,354.67 is: 3,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.35 : 3,583.04 = 2,354.67 : x
  2. Step 2: Convert to fraction form
    2,409.35/3,583.04 = 2,354.67/x
  3. Step 3: Cross multiply
    2,409.35x = 3,583.04 × 2,354.67
  4. Step 4: Simplify right side
    2,409.35x = 8,436,865.02
  5. Step 5: Solve for x
    x = 8,436,865.02/2,409.35
  6. Step 6: Final answer
    x = 3,501.73

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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.