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Finding the Fourth Proportional to 2,156.63, 3,241.10 and 1,061.76

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Solution

The fourth proportional to 2,156.63, 3,241.10 and 1,061.76 is: 1,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.63 : 3,241.10 = 1,061.76 : x
  2. Step 2: Convert to fraction form
    2,156.63/3,241.10 = 1,061.76/x
  3. Step 3: Cross multiply
    2,156.63x = 3,241.10 × 1,061.76
  4. Step 4: Simplify right side
    2,156.63x = 3,441,265.03
  5. Step 5: Solve for x
    x = 3,441,265.03/2,156.63
  6. Step 6: Final answer
    x = 1,595.67

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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.