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Finding the Fourth Proportional to 2,056.25, 3,084.53 and 595.32

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Solution

The fourth proportional to 2,056.25, 3,084.53 and 595.32 is: 893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.25 : 3,084.53 = 595.32 : x
  2. Step 2: Convert to fraction form
    2,056.25/3,084.53 = 595.32/x
  3. Step 3: Cross multiply
    2,056.25x = 3,084.53 × 595.32
  4. Step 4: Simplify right side
    2,056.25x = 1,836,279.42
  5. Step 5: Solve for x
    x = 1,836,279.42/2,056.25
  6. Step 6: Final answer
    x = 893.03

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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.