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Finding the Fourth Proportional to 3,057.64, 4,219.52 and 1,660.40

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Solution

The fourth proportional to 3,057.64, 4,219.52 and 1,660.40 is: 2,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.64 : 4,219.52 = 1,660.40 : x
  2. Step 2: Convert to fraction form
    3,057.64/4,219.52 = 1,660.40/x
  3. Step 3: Cross multiply
    3,057.64x = 4,219.52 × 1,660.40
  4. Step 4: Simplify right side
    3,057.64x = 7,006,091.01
  5. Step 5: Solve for x
    x = 7,006,091.01/3,057.64
  6. Step 6: Final answer
    x = 2,291.34

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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.