Home / 2,288.60-3,433.92-828.16

Finding the Fourth Proportional to 2,288.60, 3,433.92 and 828.16

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Solution

The fourth proportional to 2,288.60, 3,433.92 and 828.16 is: 1,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.60 : 3,433.92 = 828.16 : x
  2. Step 2: Convert to fraction form
    2,288.60/3,433.92 = 828.16/x
  3. Step 3: Cross multiply
    2,288.60x = 3,433.92 × 828.16
  4. Step 4: Simplify right side
    2,288.60x = 2,843,835.19
  5. Step 5: Solve for x
    x = 2,843,835.19/2,288.60
  6. Step 6: Final answer
    x = 1,242.61

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1.5x scale

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.