Home / 2,272.85-3,409.27-975.23

Finding the Fourth Proportional to 2,272.85, 3,409.27 and 975.23

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Solution

The fourth proportional to 2,272.85, 3,409.27 and 975.23 is: 1,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.85 : 3,409.27 = 975.23 : x
  2. Step 2: Convert to fraction form
    2,272.85/3,409.27 = 975.23/x
  3. Step 3: Cross multiply
    2,272.85x = 3,409.27 × 975.23
  4. Step 4: Simplify right side
    2,272.85x = 3,324,822.38
  5. Step 5: Solve for x
    x = 3,324,822.38/2,272.85
  6. Step 6: Final answer
    x = 1,462.84

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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.