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Finding the Fourth Proportional to 2,595.70, 3,893.55 and 951.70

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Solution

The fourth proportional to 2,595.70, 3,893.55 and 951.70 is: 1,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.70 : 3,893.55 = 951.70 : x
  2. Step 2: Convert to fraction form
    2,595.70/3,893.55 = 951.70/x
  3. Step 3: Cross multiply
    2,595.70x = 3,893.55 × 951.70
  4. Step 4: Simplify right side
    2,595.70x = 3,705,491.54
  5. Step 5: Solve for x
    x = 3,705,491.54/2,595.70
  6. Step 6: Final answer
    x = 1,427.55

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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.