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Finding the Fourth Proportional to 2,056.59, 3,084.90 and 595.75

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Solution

The fourth proportional to 2,056.59, 3,084.90 and 595.75 is: 893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.59 : 3,084.90 = 595.75 : x
  2. Step 2: Convert to fraction form
    2,056.59/3,084.90 = 595.75/x
  3. Step 3: Cross multiply
    2,056.59x = 3,084.90 × 595.75
  4. Step 4: Simplify right side
    2,056.59x = 1,837,829.18
  5. Step 5: Solve for x
    x = 1,837,829.18/2,056.59
  6. Step 6: Final answer
    x = 893.63

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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.