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Finding the Fourth Proportional to 2,741.50, 4,113.66 and 1,509.88

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Solution

The fourth proportional to 2,741.50, 4,113.66 and 1,509.88 is: 2,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.50 : 4,113.66 = 1,509.88 : x
  2. Step 2: Convert to fraction form
    2,741.50/4,113.66 = 1,509.88/x
  3. Step 3: Cross multiply
    2,741.50x = 4,113.66 × 1,509.88
  4. Step 4: Simplify right side
    2,741.50x = 6,211,132.96
  5. Step 5: Solve for x
    x = 6,211,132.96/2,741.50
  6. Step 6: Final answer
    x = 2,265.60

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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.