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Finding the Fourth Proportional to 2,037.86, 3,056.37 and 577.02

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Solution

The fourth proportional to 2,037.86, 3,056.37 and 577.02 is: 865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.86 : 3,056.37 = 577.02 : x
  2. Step 2: Convert to fraction form
    2,037.86/3,056.37 = 577.02/x
  3. Step 3: Cross multiply
    2,037.86x = 3,056.37 × 577.02
  4. Step 4: Simplify right side
    2,037.86x = 1,763,586.62
  5. Step 5: Solve for x
    x = 1,763,586.62/2,037.86
  6. Step 6: Final answer
    x = 865.41

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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.