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Finding the Fourth Proportional to 2,414.12, 3,620.76 and 953.70

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Solution

The fourth proportional to 2,414.12, 3,620.76 and 953.70 is: 1,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.12 : 3,620.76 = 953.70 : x
  2. Step 2: Convert to fraction form
    2,414.12/3,620.76 = 953.70/x
  3. Step 3: Cross multiply
    2,414.12x = 3,620.76 × 953.70
  4. Step 4: Simplify right side
    2,414.12x = 3,453,118.81
  5. Step 5: Solve for x
    x = 3,453,118.81/2,414.12
  6. Step 6: Final answer
    x = 1,430.38

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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.