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Finding the Fourth Proportional to 1,586.85, 2,189.87 and 957.41

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Solution

The fourth proportional to 1,586.85, 2,189.87 and 957.41 is: 1,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.85 : 2,189.87 = 957.41 : x
  2. Step 2: Convert to fraction form
    1,586.85/2,189.87 = 957.41/x
  3. Step 3: Cross multiply
    1,586.85x = 2,189.87 × 957.41
  4. Step 4: Simplify right side
    1,586.85x = 2,096,587.70
  5. Step 5: Solve for x
    x = 2,096,587.70/1,586.85
  6. Step 6: Final answer
    x = 1,321.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.