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Finding the Fourth Proportional to 2,307.29, 3,460.94 and 663.45

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Solution

The fourth proportional to 2,307.29, 3,460.94 and 663.45 is: 995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.29 : 3,460.94 = 663.45 : x
  2. Step 2: Convert to fraction form
    2,307.29/3,460.94 = 663.45/x
  3. Step 3: Cross multiply
    2,307.29x = 3,460.94 × 663.45
  4. Step 4: Simplify right side
    2,307.29x = 2,296,157.33
  5. Step 5: Solve for x
    x = 2,296,157.33/2,307.29
  6. Step 6: Final answer
    x = 995.18

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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.