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Finding the Fourth Proportional to 2,341.45, 3,511.26 and 781.15

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Solution

The fourth proportional to 2,341.45, 3,511.26 and 781.15 is: 1,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.45 : 3,511.26 = 781.15 : x
  2. Step 2: Convert to fraction form
    2,341.45/3,511.26 = 781.15/x
  3. Step 3: Cross multiply
    2,341.45x = 3,511.26 × 781.15
  4. Step 4: Simplify right side
    2,341.45x = 2,742,820.75
  5. Step 5: Solve for x
    x = 2,742,820.75/2,341.45
  6. Step 6: Final answer
    x = 1,171.42

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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.