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Finding the Fourth Proportional to 2,246.36, 3,369.96 and 707

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Solution

The fourth proportional to 2,246.36, 3,369.96 and 707 is: 1,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.36 : 3,369.96 = 707 : x
  2. Step 2: Convert to fraction form
    2,246.36/3,369.96 = 707/x
  3. Step 3: Cross multiply
    2,246.36x = 3,369.96 × 707
  4. Step 4: Simplify right side
    2,246.36x = 2,382,561.72
  5. Step 5: Solve for x
    x = 2,382,561.72/2,246.36
  6. Step 6: Final answer
    x = 1,060.63

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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.