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Finding the Fourth Proportional to 2,996.50, 4,495.64 and 1,536.68

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Solution

The fourth proportional to 2,996.50, 4,495.64 and 1,536.68 is: 2,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.50 : 4,495.64 = 1,536.68 : x
  2. Step 2: Convert to fraction form
    2,996.50/4,495.64 = 1,536.68/x
  3. Step 3: Cross multiply
    2,996.50x = 4,495.64 × 1,536.68
  4. Step 4: Simplify right side
    2,996.50x = 6,908,360.08
  5. Step 5: Solve for x
    x = 6,908,360.08/2,996.50
  6. Step 6: Final answer
    x = 2,305.48

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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.