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Finding the Fourth Proportional to 2,459.50, 3,689.25 and 635.50

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Solution

The fourth proportional to 2,459.50, 3,689.25 and 635.50 is: 953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.50 : 3,689.25 = 635.50 : x
  2. Step 2: Convert to fraction form
    2,459.50/3,689.25 = 635.50/x
  3. Step 3: Cross multiply
    2,459.50x = 3,689.25 × 635.50
  4. Step 4: Simplify right side
    2,459.50x = 2,344,518.38
  5. Step 5: Solve for x
    x = 2,344,518.38/2,459.50
  6. Step 6: Final answer
    x = 953.25

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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.