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Finding the Fourth Proportional to 2,052.93, 3,079.62 and 957.63

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Solution

The fourth proportional to 2,052.93, 3,079.62 and 957.63 is: 1,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.93 : 3,079.62 = 957.63 : x
  2. Step 2: Convert to fraction form
    2,052.93/3,079.62 = 957.63/x
  3. Step 3: Cross multiply
    2,052.93x = 3,079.62 × 957.63
  4. Step 4: Simplify right side
    2,052.93x = 2,949,136.50
  5. Step 5: Solve for x
    x = 2,949,136.50/2,052.93
  6. Step 6: Final answer
    x = 1,436.55

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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.