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Finding the Fourth Proportional to 3,297.66, 4,945.74 and 957.15

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Solution

The fourth proportional to 3,297.66, 4,945.74 and 957.15 is: 1,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.66 : 4,945.74 = 957.15 : x
  2. Step 2: Convert to fraction form
    3,297.66/4,945.74 = 957.15/x
  3. Step 3: Cross multiply
    3,297.66x = 4,945.74 × 957.15
  4. Step 4: Simplify right side
    3,297.66x = 4,733,815.04
  5. Step 5: Solve for x
    x = 4,733,815.04/3,297.66
  6. Step 6: Final answer
    x = 1,435.51

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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.