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Finding the Fourth Proportional to 2,038.48, 3,057.36 and 577.30

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Solution

The fourth proportional to 2,038.48, 3,057.36 and 577.30 is: 865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.48 : 3,057.36 = 577.30 : x
  2. Step 2: Convert to fraction form
    2,038.48/3,057.36 = 577.30/x
  3. Step 3: Cross multiply
    2,038.48x = 3,057.36 × 577.30
  4. Step 4: Simplify right side
    2,038.48x = 1,765,013.93
  5. Step 5: Solve for x
    x = 1,765,013.93/2,038.48
  6. Step 6: Final answer
    x = 865.85

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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.