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Finding the Fourth Proportional to 3,002.50, 4,502.60 and 1,442.06

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Solution

The fourth proportional to 3,002.50, 4,502.60 and 1,442.06 is: 2,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.50 : 4,502.60 = 1,442.06 : x
  2. Step 2: Convert to fraction form
    3,002.50/4,502.60 = 1,442.06/x
  3. Step 3: Cross multiply
    3,002.50x = 4,502.60 × 1,442.06
  4. Step 4: Simplify right side
    3,002.50x = 6,493,019.36
  5. Step 5: Solve for x
    x = 6,493,019.36/3,002.50
  6. Step 6: Final answer
    x = 2,162.54

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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.