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Finding the Fourth Proportional to 2,735.50, 4,104.66 and 1,503.88

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Solution

The fourth proportional to 2,735.50, 4,104.66 and 1,503.88 is: 2,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.50 : 4,104.66 = 1,503.88 : x
  2. Step 2: Convert to fraction form
    2,735.50/4,104.66 = 1,503.88/x
  3. Step 3: Cross multiply
    2,735.50x = 4,104.66 × 1,503.88
  4. Step 4: Simplify right side
    2,735.50x = 6,172,916.08
  5. Step 5: Solve for x
    x = 6,172,916.08/2,735.50
  6. Step 6: Final answer
    x = 2,256.60

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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.