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Finding the Fourth Proportional to 2,599.79, 3,899.93 and 956.37

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Solution

The fourth proportional to 2,599.79, 3,899.93 and 956.37 is: 1,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.79 : 3,899.93 = 956.37 : x
  2. Step 2: Convert to fraction form
    2,599.79/3,899.93 = 956.37/x
  3. Step 3: Cross multiply
    2,599.79x = 3,899.93 × 956.37
  4. Step 4: Simplify right side
    2,599.79x = 3,729,771.27
  5. Step 5: Solve for x
    x = 3,729,771.27/2,599.79
  6. Step 6: Final answer
    x = 1,434.65

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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.