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Finding the Fourth Proportional to 2,056.46, 3,084.75 and 595.62

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Solution

The fourth proportional to 2,056.46, 3,084.75 and 595.62 is: 893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.46 : 3,084.75 = 595.62 : x
  2. Step 2: Convert to fraction form
    2,056.46/3,084.75 = 595.62/x
  3. Step 3: Cross multiply
    2,056.46x = 3,084.75 × 595.62
  4. Step 4: Simplify right side
    2,056.46x = 1,837,338.80
  5. Step 5: Solve for x
    x = 1,837,338.80/2,056.46
  6. Step 6: Final answer
    x = 893.45

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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.