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Finding the Fourth Proportional to 2,307.47, 3,461.08 and 663.95

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Solution

The fourth proportional to 2,307.47, 3,461.08 and 663.95 is: 995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.47 : 3,461.08 = 663.95 : x
  2. Step 2: Convert to fraction form
    2,307.47/3,461.08 = 663.95/x
  3. Step 3: Cross multiply
    2,307.47x = 3,461.08 × 663.95
  4. Step 4: Simplify right side
    2,307.47x = 2,297,980.75
  5. Step 5: Solve for x
    x = 2,297,980.75/2,307.47
  6. Step 6: Final answer
    x = 995.89

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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.