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Finding the Fourth Proportional to 2,065.46, 3,097.26 and 970.13

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Solution

The fourth proportional to 2,065.46, 3,097.26 and 970.13 is: 1,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.46 : 3,097.26 = 970.13 : x
  2. Step 2: Convert to fraction form
    2,065.46/3,097.26 = 970.13/x
  3. Step 3: Cross multiply
    2,065.46x = 3,097.26 × 970.13
  4. Step 4: Simplify right side
    2,065.46x = 3,004,729.36
  5. Step 5: Solve for x
    x = 3,004,729.36/2,065.46
  6. Step 6: Final answer
    x = 1,454.75

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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.