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Finding the Fourth Proportional to 1,409.57, 1,944.16 and 1,250.24

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Solution

The fourth proportional to 1,409.57, 1,944.16 and 1,250.24 is: 1,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.57 : 1,944.16 = 1,250.24 : x
  2. Step 2: Convert to fraction form
    1,409.57/1,944.16 = 1,250.24/x
  3. Step 3: Cross multiply
    1,409.57x = 1,944.16 × 1,250.24
  4. Step 4: Simplify right side
    1,409.57x = 2,430,668.33
  5. Step 5: Solve for x
    x = 2,430,668.33/1,409.57
  6. Step 6: Final answer
    x = 1,724.40

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Double scale
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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.