Home / 2,408.94-3,612.33-947.84

Finding the Fourth Proportional to 2,408.94, 3,612.33 and 947.84

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Solution

The fourth proportional to 2,408.94, 3,612.33 and 947.84 is: 1,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.94 : 3,612.33 = 947.84 : x
  2. Step 2: Convert to fraction form
    2,408.94/3,612.33 = 947.84/x
  3. Step 3: Cross multiply
    2,408.94x = 3,612.33 × 947.84
  4. Step 4: Simplify right side
    2,408.94x = 3,423,892.81
  5. Step 5: Solve for x
    x = 3,423,892.81/2,408.94
  6. Step 6: Final answer
    x = 1,421.33

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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.