Home / 2,948.24-4,415.88-1,406

Finding the Fourth Proportional to 2,948.24, 4,415.88 and 1,406

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Solution

The fourth proportional to 2,948.24, 4,415.88 and 1,406 is: 2,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.24 : 4,415.88 = 1,406 : x
  2. Step 2: Convert to fraction form
    2,948.24/4,415.88 = 1,406/x
  3. Step 3: Cross multiply
    2,948.24x = 4,415.88 × 1,406
  4. Step 4: Simplify right side
    2,948.24x = 6,208,727.28
  5. Step 5: Solve for x
    x = 6,208,727.28/2,948.24
  6. Step 6: Final answer
    x = 2,105.91

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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.