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Finding the Fourth Proportional to 2,056.29, 3,084.89 and 595.58

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Solution

The fourth proportional to 2,056.29, 3,084.89 and 595.58 is: 893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.29 : 3,084.89 = 595.58 : x
  2. Step 2: Convert to fraction form
    2,056.29/3,084.89 = 595.58/x
  3. Step 3: Cross multiply
    2,056.29x = 3,084.89 × 595.58
  4. Step 4: Simplify right side
    2,056.29x = 1,837,280.38
  5. Step 5: Solve for x
    x = 1,837,280.38/2,056.29
  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.