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Finding the Fourth Proportional to 2,745.02, 3,788.12 and 1,486.07

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Solution

The fourth proportional to 2,745.02, 3,788.12 and 1,486.07 is: 2,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.02 : 3,788.12 = 1,486.07 : x
  2. Step 2: Convert to fraction form
    2,745.02/3,788.12 = 1,486.07/x
  3. Step 3: Cross multiply
    2,745.02x = 3,788.12 × 1,486.07
  4. Step 4: Simplify right side
    2,745.02x = 5,629,404.06
  5. Step 5: Solve for x
    x = 5,629,404.06/2,745.02
  6. Step 6: Final answer
    x = 2,050.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.