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Finding the Fourth Proportional to 1,378.94, 2,060.02 and 985.82

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Solution

The fourth proportional to 1,378.94, 2,060.02 and 985.82 is: 1,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.94 : 2,060.02 = 985.82 : x
  2. Step 2: Convert to fraction form
    1,378.94/2,060.02 = 985.82/x
  3. Step 3: Cross multiply
    1,378.94x = 2,060.02 × 985.82
  4. Step 4: Simplify right side
    1,378.94x = 2,030,799.85
  5. Step 5: Solve for x
    x = 2,030,799.85/1,378.94
  6. Step 6: Final answer
    x = 1,472.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.