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Finding the Fourth Proportional to 2,307.29, 3,188.12 and 1,813.86

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Solution

The fourth proportional to 2,307.29, 3,188.12 and 1,813.86 is: 2,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.29 : 3,188.12 = 1,813.86 : x
  2. Step 2: Convert to fraction form
    2,307.29/3,188.12 = 1,813.86/x
  3. Step 3: Cross multiply
    2,307.29x = 3,188.12 × 1,813.86
  4. Step 4: Simplify right side
    2,307.29x = 5,782,794.27
  5. Step 5: Solve for x
    x = 5,782,794.27/2,307.29
  6. Step 6: Final answer
    x = 2,506.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.