Home / 2,976.24-4,106.52-2,046

Finding the Fourth Proportional to 2,976.24, 4,106.52 and 2,046

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Solution

The fourth proportional to 2,976.24, 4,106.52 and 2,046 is: 2,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.24 : 4,106.52 = 2,046 : x
  2. Step 2: Convert to fraction form
    2,976.24/4,106.52 = 2,046/x
  3. Step 3: Cross multiply
    2,976.24x = 4,106.52 × 2,046
  4. Step 4: Simplify right side
    2,976.24x = 8,401,939.92
  5. Step 5: Solve for x
    x = 8,401,939.92/2,976.24
  6. Step 6: Final answer
    x = 2,823.00

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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.