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Finding the Fourth Proportional to 1,635.99, 2,462.72 and 1,409.93

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Solution

The fourth proportional to 1,635.99, 2,462.72 and 1,409.93 is: 2,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.99 : 2,462.72 = 1,409.93 : x
  2. Step 2: Convert to fraction form
    1,635.99/2,462.72 = 1,409.93/x
  3. Step 3: Cross multiply
    1,635.99x = 2,462.72 × 1,409.93
  4. Step 4: Simplify right side
    1,635.99x = 3,472,243.45
  5. Step 5: Solve for x
    x = 3,472,243.45/1,635.99
  6. Step 6: Final answer
    x = 2,122.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.