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Finding the Fourth Proportional to 2,037.90, 3,056.82 and 577.07

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Solution

The fourth proportional to 2,037.90, 3,056.82 and 577.07 is: 865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.90 : 3,056.82 = 577.07 : x
  2. Step 2: Convert to fraction form
    2,037.90/3,056.82 = 577.07/x
  3. Step 3: Cross multiply
    2,037.90x = 3,056.82 × 577.07
  4. Step 4: Simplify right side
    2,037.90x = 1,763,983.83
  5. Step 5: Solve for x
    x = 1,763,983.83/2,037.90
  6. Step 6: Final answer
    x = 865.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.