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Finding the Fourth Proportional to 1,409.12, 1,945.12 and 1,261.48

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Solution

The fourth proportional to 1,409.12, 1,945.12 and 1,261.48 is: 1,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.12 : 1,945.12 = 1,261.48 : x
  2. Step 2: Convert to fraction form
    1,409.12/1,945.12 = 1,261.48/x
  3. Step 3: Cross multiply
    1,409.12x = 1,945.12 × 1,261.48
  4. Step 4: Simplify right side
    1,409.12x = 2,453,729.98
  5. Step 5: Solve for x
    x = 2,453,729.98/1,409.12
  6. Step 6: Final answer
    x = 1,741.32

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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.