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Finding the Fourth Proportional to 3,000.48, 4,492.44 and 1,536.48

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Solution

The fourth proportional to 3,000.48, 4,492.44 and 1,536.48 is: 2,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.48 : 4,492.44 = 1,536.48 : x
  2. Step 2: Convert to fraction form
    3,000.48/4,492.44 = 1,536.48/x
  3. Step 3: Cross multiply
    3,000.48x = 4,492.44 × 1,536.48
  4. Step 4: Simplify right side
    3,000.48x = 6,902,544.21
  5. Step 5: Solve for x
    x = 6,902,544.21/3,000.48
  6. Step 6: Final answer
    x = 2,300.48

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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.