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Finding the Fourth Proportional to 2,056.41, 3,084.64 and 595.57

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Solution

The fourth proportional to 2,056.41, 3,084.64 and 595.57 is: 893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.41 : 3,084.64 = 595.57 : x
  2. Step 2: Convert to fraction form
    2,056.41/3,084.64 = 595.57/x
  3. Step 3: Cross multiply
    2,056.41x = 3,084.64 × 595.57
  4. Step 4: Simplify right side
    2,056.41x = 1,837,105.11
  5. Step 5: Solve for x
    x = 1,837,105.11/2,056.41
  6. Step 6: Final answer
    x = 893.36

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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.