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Finding the Fourth Proportional to 2,325.96, 3,209.84 and 1,278.02

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Solution

The fourth proportional to 2,325.96, 3,209.84 and 1,278.02 is: 1,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.96 : 3,209.84 = 1,278.02 : x
  2. Step 2: Convert to fraction form
    2,325.96/3,209.84 = 1,278.02/x
  3. Step 3: Cross multiply
    2,325.96x = 3,209.84 × 1,278.02
  4. Step 4: Simplify right side
    2,325.96x = 4,102,223.67
  5. Step 5: Solve for x
    x = 4,102,223.67/2,325.96
  6. Step 6: Final answer
    x = 1,763.67

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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.