Home / 2,946.80-4,417.32-1,406

Finding the Fourth Proportional to 2,946.80, 4,417.32 and 1,406

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Solution

The fourth proportional to 2,946.80, 4,417.32 and 1,406 is: 2,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.80 : 4,417.32 = 1,406 : x
  2. Step 2: Convert to fraction form
    2,946.80/4,417.32 = 1,406/x
  3. Step 3: Cross multiply
    2,946.80x = 4,417.32 × 1,406
  4. Step 4: Simplify right side
    2,946.80x = 6,210,751.92
  5. Step 5: Solve for x
    x = 6,210,751.92/2,946.80
  6. Step 6: Final answer
    x = 2,107.63

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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.