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Finding the Fourth Proportional to 2,340.36, 3,511.10 and 780.32

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Solution

The fourth proportional to 2,340.36, 3,511.10 and 780.32 is: 1,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.36 : 3,511.10 = 780.32 : x
  2. Step 2: Convert to fraction form
    2,340.36/3,511.10 = 780.32/x
  3. Step 3: Cross multiply
    2,340.36x = 3,511.10 × 780.32
  4. Step 4: Simplify right side
    2,340.36x = 2,739,781.55
  5. Step 5: Solve for x
    x = 2,739,781.55/2,340.36
  6. Step 6: Final answer
    x = 1,170.67

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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.