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Finding the Fourth Proportional to 2,130.48, 2,944.08 and 2,057.64

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Solution

The fourth proportional to 2,130.48, 2,944.08 and 2,057.64 is: 2,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.48 : 2,944.08 = 2,057.64 : x
  2. Step 2: Convert to fraction form
    2,130.48/2,944.08 = 2,057.64/x
  3. Step 3: Cross multiply
    2,130.48x = 2,944.08 × 2,057.64
  4. Step 4: Simplify right side
    2,130.48x = 6,057,856.77
  5. Step 5: Solve for x
    x = 6,057,856.77/2,130.48
  6. Step 6: Final answer
    x = 2,843.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.