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Finding the Fourth Proportional to 2,056.60, 3,083.95 and 595.41

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Solution

The fourth proportional to 2,056.60, 3,083.95 and 595.41 is: 892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.60 : 3,083.95 = 595.41 : x
  2. Step 2: Convert to fraction form
    2,056.60/3,083.95 = 595.41/x
  3. Step 3: Cross multiply
    2,056.60x = 3,083.95 × 595.41
  4. Step 4: Simplify right side
    2,056.60x = 1,836,214.67
  5. Step 5: Solve for x
    x = 1,836,214.67/2,056.60
  6. Step 6: Final answer
    x = 892.84

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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.