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Finding the Fourth Proportional to 2,401.96, 3,591.96 and 1,746.04

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Solution

The fourth proportional to 2,401.96, 3,591.96 and 1,746.04 is: 2,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.96 : 3,591.96 = 1,746.04 : x
  2. Step 2: Convert to fraction form
    2,401.96/3,591.96 = 1,746.04/x
  3. Step 3: Cross multiply
    2,401.96x = 3,591.96 × 1,746.04
  4. Step 4: Simplify right side
    2,401.96x = 6,271,705.84
  5. Step 5: Solve for x
    x = 6,271,705.84/2,401.96
  6. Step 6: Final answer
    x = 2,611.08

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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.