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Finding the Fourth Proportional to 1,586.44, 2,189.42 and 957.30

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Solution

The fourth proportional to 1,586.44, 2,189.42 and 957.30 is: 1,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.44 : 2,189.42 = 957.30 : x
  2. Step 2: Convert to fraction form
    1,586.44/2,189.42 = 957.30/x
  3. Step 3: Cross multiply
    1,586.44x = 2,189.42 × 957.30
  4. Step 4: Simplify right side
    1,586.44x = 2,095,931.77
  5. Step 5: Solve for x
    x = 2,095,931.77/1,586.44
  6. Step 6: Final answer
    x = 1,321.15

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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.