Home / 2,828.80-3,903.12-1,780.48

Finding the Fourth Proportional to 2,828.80, 3,903.12 and 1,780.48

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Solution

The fourth proportional to 2,828.80, 3,903.12 and 1,780.48 is: 2,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.80 : 3,903.12 = 1,780.48 : x
  2. Step 2: Convert to fraction form
    2,828.80/3,903.12 = 1,780.48/x
  3. Step 3: Cross multiply
    2,828.80x = 3,903.12 × 1,780.48
  4. Step 4: Simplify right side
    2,828.80x = 6,949,427.10
  5. Step 5: Solve for x
    x = 6,949,427.10/2,828.80
  6. Step 6: Final answer
    x = 2,456.67

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1.5x scale

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.