Home / 2,966.84-4,450.32-1,406.46

Finding the Fourth Proportional to 2,966.84, 4,450.32 and 1,406.46

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Solution

The fourth proportional to 2,966.84, 4,450.32 and 1,406.46 is: 2,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.84 : 4,450.32 = 1,406.46 : x
  2. Step 2: Convert to fraction form
    2,966.84/4,450.32 = 1,406.46/x
  3. Step 3: Cross multiply
    2,966.84x = 4,450.32 × 1,406.46
  4. Step 4: Simplify right side
    2,966.84x = 6,259,197.07
  5. Step 5: Solve for x
    x = 6,259,197.07/2,966.84
  6. Step 6: Final answer
    x = 2,109.72

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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.