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Finding the Fourth Proportional to 2,420.13, 3,630.21 and 959.28

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Solution

The fourth proportional to 2,420.13, 3,630.21 and 959.28 is: 1,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.13 : 3,630.21 = 959.28 : x
  2. Step 2: Convert to fraction form
    2,420.13/3,630.21 = 959.28/x
  3. Step 3: Cross multiply
    2,420.13x = 3,630.21 × 959.28
  4. Step 4: Simplify right side
    2,420.13x = 3,482,387.85
  5. Step 5: Solve for x
    x = 3,482,387.85/2,420.13
  6. Step 6: Final answer
    x = 1,438.93

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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.