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Finding the Fourth Proportional to 2,611.40, 3,603.74 and 1,416.42

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Solution

The fourth proportional to 2,611.40, 3,603.74 and 1,416.42 is: 1,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.40 : 3,603.74 = 1,416.42 : x
  2. Step 2: Convert to fraction form
    2,611.40/3,603.74 = 1,416.42/x
  3. Step 3: Cross multiply
    2,611.40x = 3,603.74 × 1,416.42
  4. Step 4: Simplify right side
    2,611.40x = 5,104,409.41
  5. Step 5: Solve for x
    x = 5,104,409.41/2,611.40
  6. Step 6: Final answer
    x = 1,954.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.