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Finding the Fourth Proportional to 2,420.28, 3,630.08 and 689.04

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Solution

The fourth proportional to 2,420.28, 3,630.08 and 689.04 is: 1,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.28 : 3,630.08 = 689.04 : x
  2. Step 2: Convert to fraction form
    2,420.28/3,630.08 = 689.04/x
  3. Step 3: Cross multiply
    2,420.28x = 3,630.08 × 689.04
  4. Step 4: Simplify right side
    2,420.28x = 2,501,270.32
  5. Step 5: Solve for x
    x = 2,501,270.32/2,420.28
  6. Step 6: Final answer
    x = 1,033.46

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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.