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Finding the Fourth Proportional to 2,056.10, 3,083.80 and 594.86

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Solution

The fourth proportional to 2,056.10, 3,083.80 and 594.86 is: 892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.10 : 3,083.80 = 594.86 : x
  2. Step 2: Convert to fraction form
    2,056.10/3,083.80 = 594.86/x
  3. Step 3: Cross multiply
    2,056.10x = 3,083.80 × 594.86
  4. Step 4: Simplify right side
    2,056.10x = 1,834,429.27
  5. Step 5: Solve for x
    x = 1,834,429.27/2,056.10
  6. Step 6: Final answer
    x = 892.19

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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.