Home / 2,048-2,826.24-1,312

Finding the Fourth Proportional to 2,048, 2,826.24 and 1,312

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Solution

The fourth proportional to 2,048, 2,826.24 and 1,312 is: 1,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048 : 2,826.24 = 1,312 : x
  2. Step 2: Convert to fraction form
    2,048/2,826.24 = 1,312/x
  3. Step 3: Cross multiply
    2,048x = 2,826.24 × 1,312
  4. Step 4: Simplify right side
    2,048x = 3,708,026.88
  5. Step 5: Solve for x
    x = 3,708,026.88/2,048
  6. Step 6: Final answer
    x = 1,810.56

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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.