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Finding the Fourth Proportional to 2,056.31, 3,084.96 and 595.57

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Solution

The fourth proportional to 2,056.31, 3,084.96 and 595.57 is: 893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.31 : 3,084.96 = 595.57 : x
  2. Step 2: Convert to fraction form
    2,056.31/3,084.96 = 595.57/x
  3. Step 3: Cross multiply
    2,056.31x = 3,084.96 × 595.57
  4. Step 4: Simplify right side
    2,056.31x = 1,837,294.20
  5. Step 5: Solve for x
    x = 1,837,294.20/2,056.31
  6. Step 6: Final answer
    x = 893.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.