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Finding the Fourth Proportional to 3,059.64, 4,222.29 and 1,662.42

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Solution

The fourth proportional to 3,059.64, 4,222.29 and 1,662.42 is: 2,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.64 : 4,222.29 = 1,662.42 : x
  2. Step 2: Convert to fraction form
    3,059.64/4,222.29 = 1,662.42/x
  3. Step 3: Cross multiply
    3,059.64x = 4,222.29 × 1,662.42
  4. Step 4: Simplify right side
    3,059.64x = 7,019,219.34
  5. Step 5: Solve for x
    x = 7,019,219.34/3,059.64
  6. Step 6: Final answer
    x = 2,294.13

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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.