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Finding the Fourth Proportional to 2,307.67, 3,461.00 and 663.86

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Solution

The fourth proportional to 2,307.67, 3,461.00 and 663.86 is: 995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.67 : 3,461.00 = 663.86 : x
  2. Step 2: Convert to fraction form
    2,307.67/3,461.00 = 663.86/x
  3. Step 3: Cross multiply
    2,307.67x = 3,461.00 × 663.86
  4. Step 4: Simplify right side
    2,307.67x = 2,297,630.39
  5. Step 5: Solve for x
    x = 2,297,630.39/2,307.67
  6. Step 6: Final answer
    x = 995.65

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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.