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Finding the Fourth Proportional to 2,153.64, 3,230.08 and 1,057.64

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Solution

The fourth proportional to 2,153.64, 3,230.08 and 1,057.64 is: 1,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.64 : 3,230.08 = 1,057.64 : x
  2. Step 2: Convert to fraction form
    2,153.64/3,230.08 = 1,057.64/x
  3. Step 3: Cross multiply
    2,153.64x = 3,230.08 × 1,057.64
  4. Step 4: Simplify right side
    2,153.64x = 3,416,261.81
  5. Step 5: Solve for x
    x = 3,416,261.81/2,153.64
  6. Step 6: Final answer
    x = 1,586.27

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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.