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Finding the Fourth Proportional to 1,424.57, 2,137.32 and 961.11

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Solution

The fourth proportional to 1,424.57, 2,137.32 and 961.11 is: 1,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.57 : 2,137.32 = 961.11 : x
  2. Step 2: Convert to fraction form
    1,424.57/2,137.32 = 961.11/x
  3. Step 3: Cross multiply
    1,424.57x = 2,137.32 × 961.11
  4. Step 4: Simplify right side
    1,424.57x = 2,054,199.63
  5. Step 5: Solve for x
    x = 2,054,199.63/1,424.57
  6. Step 6: Final answer
    x = 1,441.98

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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.