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Finding the Fourth Proportional to 2,433.40, 3,650.10 and 678.40

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Solution

The fourth proportional to 2,433.40, 3,650.10 and 678.40 is: 1,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.40 : 3,650.10 = 678.40 : x
  2. Step 2: Convert to fraction form
    2,433.40/3,650.10 = 678.40/x
  3. Step 3: Cross multiply
    2,433.40x = 3,650.10 × 678.40
  4. Step 4: Simplify right side
    2,433.40x = 2,476,227.84
  5. Step 5: Solve for x
    x = 2,476,227.84/2,433.40
  6. Step 6: Final answer
    x = 1,017.60

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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.