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Finding the Fourth Proportional to 2,056.52, 3,084.78 and 595.67

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Solution

The fourth proportional to 2,056.52, 3,084.78 and 595.67 is: 893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.52 : 3,084.78 = 595.67 : x
  2. Step 2: Convert to fraction form
    2,056.52/3,084.78 = 595.67/x
  3. Step 3: Cross multiply
    2,056.52x = 3,084.78 × 595.67
  4. Step 4: Simplify right side
    2,056.52x = 1,837,522.06
  5. Step 5: Solve for x
    x = 1,837,522.06/2,056.52
  6. Step 6: Final answer
    x = 893.51

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Similar ratio
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1.5x scale

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.