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Finding the Fourth Proportional to 1,234.72, 1,852.16 and 1,006.24

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Solution

The fourth proportional to 1,234.72, 1,852.16 and 1,006.24 is: 1,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.72 : 1,852.16 = 1,006.24 : x
  2. Step 2: Convert to fraction form
    1,234.72/1,852.16 = 1,006.24/x
  3. Step 3: Cross multiply
    1,234.72x = 1,852.16 × 1,006.24
  4. Step 4: Simplify right side
    1,234.72x = 1,863,717.48
  5. Step 5: Solve for x
    x = 1,863,717.48/1,234.72
  6. Step 6: Final answer
    x = 1,509.43

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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.