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Finding the Fourth Proportional to 1,409.95, 1,946.41 and 938.63

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Solution

The fourth proportional to 1,409.95, 1,946.41 and 938.63 is: 1,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.95 : 1,946.41 = 938.63 : x
  2. Step 2: Convert to fraction form
    1,409.95/1,946.41 = 938.63/x
  3. Step 3: Cross multiply
    1,409.95x = 1,946.41 × 938.63
  4. Step 4: Simplify right side
    1,409.95x = 1,826,958.82
  5. Step 5: Solve for x
    x = 1,826,958.82/1,409.95
  6. Step 6: Final answer
    x = 1,295.76

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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.