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Finding the Fourth Proportional to 2,989.94, 4,484.54 and 1,741.23

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Solution

The fourth proportional to 2,989.94, 4,484.54 and 1,741.23 is: 2,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.94 : 4,484.54 = 1,741.23 : x
  2. Step 2: Convert to fraction form
    2,989.94/4,484.54 = 1,741.23/x
  3. Step 3: Cross multiply
    2,989.94x = 4,484.54 × 1,741.23
  4. Step 4: Simplify right side
    2,989.94x = 7,808,619.94
  5. Step 5: Solve for x
    x = 7,808,619.94/2,989.94
  6. Step 6: Final answer
    x = 2,611.64

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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.