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Finding the Fourth Proportional to 2,057.60, 3,062.40 and 2,051.20

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Solution

The fourth proportional to 2,057.60, 3,062.40 and 2,051.20 is: 3,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.60 : 3,062.40 = 2,051.20 : x
  2. Step 2: Convert to fraction form
    2,057.60/3,062.40 = 2,051.20/x
  3. Step 3: Cross multiply
    2,057.60x = 3,062.40 × 2,051.20
  4. Step 4: Simplify right side
    2,057.60x = 6,281,594.88
  5. Step 5: Solve for x
    x = 6,281,594.88/2,057.60
  6. Step 6: Final answer
    x = 3,052.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.