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Finding the Fourth Proportional to 2,420.58, 3,631.50 and 689.34

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Solution

The fourth proportional to 2,420.58, 3,631.50 and 689.34 is: 1,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.58 : 3,631.50 = 689.34 : x
  2. Step 2: Convert to fraction form
    2,420.58/3,631.50 = 689.34/x
  3. Step 3: Cross multiply
    2,420.58x = 3,631.50 × 689.34
  4. Step 4: Simplify right side
    2,420.58x = 2,503,338.21
  5. Step 5: Solve for x
    x = 2,503,338.21/2,420.58
  6. Step 6: Final answer
    x = 1,034.19

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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.