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Finding the Fourth Proportional to 2,434.07, 3,651.64 and 790.79

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Solution

The fourth proportional to 2,434.07, 3,651.64 and 790.79 is: 1,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.07 : 3,651.64 = 790.79 : x
  2. Step 2: Convert to fraction form
    2,434.07/3,651.64 = 790.79/x
  3. Step 3: Cross multiply
    2,434.07x = 3,651.64 × 790.79
  4. Step 4: Simplify right side
    2,434.07x = 2,887,680.40
  5. Step 5: Solve for x
    x = 2,887,680.40/2,434.07
  6. Step 6: Final answer
    x = 1,186.36

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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.