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Finding the Fourth Proportional to 2,735.90, 4,100.07 and 2,369.78

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Solution

The fourth proportional to 2,735.90, 4,100.07 and 2,369.78 is: 3,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.90 : 4,100.07 = 2,369.78 : x
  2. Step 2: Convert to fraction form
    2,735.90/4,100.07 = 2,369.78/x
  3. Step 3: Cross multiply
    2,735.90x = 4,100.07 × 2,369.78
  4. Step 4: Simplify right side
    2,735.90x = 9,716,283.02
  5. Step 5: Solve for x
    x = 9,716,283.02/2,735.90
  6. Step 6: Final answer
    x = 3,551.40

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1.5x scale

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.