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Finding the Fourth Proportional to 2,038.32, 3,057.53 and 577.42

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Solution

The fourth proportional to 2,038.32, 3,057.53 and 577.42 is: 866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.32 : 3,057.53 = 577.42 : x
  2. Step 2: Convert to fraction form
    2,038.32/3,057.53 = 577.42/x
  3. Step 3: Cross multiply
    2,038.32x = 3,057.53 × 577.42
  4. Step 4: Simplify right side
    2,038.32x = 1,765,468.44
  5. Step 5: Solve for x
    x = 1,765,468.44/2,038.32
  6. Step 6: Final answer
    x = 866.14

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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.