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Finding the Fourth Proportional to 2,414.64, 3,623.19 and 955.02

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Solution

The fourth proportional to 2,414.64, 3,623.19 and 955.02 is: 1,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.64 : 3,623.19 = 955.02 : x
  2. Step 2: Convert to fraction form
    2,414.64/3,623.19 = 955.02/x
  3. Step 3: Cross multiply
    2,414.64x = 3,623.19 × 955.02
  4. Step 4: Simplify right side
    2,414.64x = 3,460,218.91
  5. Step 5: Solve for x
    x = 3,460,218.91/2,414.64
  6. Step 6: Final answer
    x = 1,433.02

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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.