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Finding the Fourth Proportional to 2,428.26, 3,642.40 and 967.40

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Solution

The fourth proportional to 2,428.26, 3,642.40 and 967.40 is: 1,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.26 : 3,642.40 = 967.40 : x
  2. Step 2: Convert to fraction form
    2,428.26/3,642.40 = 967.40/x
  3. Step 3: Cross multiply
    2,428.26x = 3,642.40 × 967.40
  4. Step 4: Simplify right side
    2,428.26x = 3,523,657.76
  5. Step 5: Solve for x
    x = 3,523,657.76/2,428.26
  6. Step 6: Final answer
    x = 1,451.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.