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Finding the Fourth Proportional to 2,240.40, 3,362.87 and 924.94

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Solution

The fourth proportional to 2,240.40, 3,362.87 and 924.94 is: 1,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.40 : 3,362.87 = 924.94 : x
  2. Step 2: Convert to fraction form
    2,240.40/3,362.87 = 924.94/x
  3. Step 3: Cross multiply
    2,240.40x = 3,362.87 × 924.94
  4. Step 4: Simplify right side
    2,240.40x = 3,110,452.98
  5. Step 5: Solve for x
    x = 3,110,452.98/2,240.40
  6. Step 6: Final answer
    x = 1,388.35

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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.