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Finding the Fourth Proportional to 2,829, 4,241.34 and 1,528.68

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Solution

The fourth proportional to 2,829, 4,241.34 and 1,528.68 is: 2,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829 : 4,241.34 = 1,528.68 : x
  2. Step 2: Convert to fraction form
    2,829/4,241.34 = 1,528.68/x
  3. Step 3: Cross multiply
    2,829x = 4,241.34 × 1,528.68
  4. Step 4: Simplify right side
    2,829x = 6,483,651.63
  5. Step 5: Solve for x
    x = 6,483,651.63/2,829
  6. Step 6: Final answer
    x = 2,291.85

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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.