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Finding the Fourth Proportional to 2,408.76, 3,323.74 and 1,464.75

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Solution

The fourth proportional to 2,408.76, 3,323.74 and 1,464.75 is: 2,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.76 : 3,323.74 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    2,408.76/3,323.74 = 1,464.75/x
  3. Step 3: Cross multiply
    2,408.76x = 3,323.74 × 1,464.75
  4. Step 4: Simplify right side
    2,408.76x = 4,868,448.17
  5. Step 5: Solve for x
    x = 4,868,448.17/2,408.76
  6. Step 6: Final answer
    x = 2,021.14

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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.