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Finding the Fourth Proportional to 1,955.75, 2,934.07 and 657.19

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Solution

The fourth proportional to 1,955.75, 2,934.07 and 657.19 is: 985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.75 : 2,934.07 = 657.19 : x
  2. Step 2: Convert to fraction form
    1,955.75/2,934.07 = 657.19/x
  3. Step 3: Cross multiply
    1,955.75x = 2,934.07 × 657.19
  4. Step 4: Simplify right side
    1,955.75x = 1,928,232.49
  5. Step 5: Solve for x
    x = 1,928,232.49/1,955.75
  6. Step 6: Final answer
    x = 985.93

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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.