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Finding the Fourth Proportional to 1,607.50, 2,409.87 and 827.47

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Solution

The fourth proportional to 1,607.50, 2,409.87 and 827.47 is: 1,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.50 : 2,409.87 = 827.47 : x
  2. Step 2: Convert to fraction form
    1,607.50/2,409.87 = 827.47/x
  3. Step 3: Cross multiply
    1,607.50x = 2,409.87 × 827.47
  4. Step 4: Simplify right side
    1,607.50x = 1,994,095.13
  5. Step 5: Solve for x
    x = 1,994,095.13/1,607.50
  6. Step 6: Final answer
    x = 1,240.49

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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.