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Finding the Fourth Proportional to 2,368.69, 3,267.82 and 1,529.21

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Solution

The fourth proportional to 2,368.69, 3,267.82 and 1,529.21 is: 2,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.69 : 3,267.82 = 1,529.21 : x
  2. Step 2: Convert to fraction form
    2,368.69/3,267.82 = 1,529.21/x
  3. Step 3: Cross multiply
    2,368.69x = 3,267.82 × 1,529.21
  4. Step 4: Simplify right side
    2,368.69x = 4,997,183.02
  5. Step 5: Solve for x
    x = 4,997,183.02/2,368.69
  6. Step 6: Final answer
    x = 2,109.68

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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.