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Finding the Fourth Proportional to 1,771.15, 2,658.35 and 1,285.15

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Solution

The fourth proportional to 1,771.15, 2,658.35 and 1,285.15 is: 1,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.15 : 2,658.35 = 1,285.15 : x
  2. Step 2: Convert to fraction form
    1,771.15/2,658.35 = 1,285.15/x
  3. Step 3: Cross multiply
    1,771.15x = 2,658.35 × 1,285.15
  4. Step 4: Simplify right side
    1,771.15x = 3,416,378.50
  5. Step 5: Solve for x
    x = 3,416,378.50/1,771.15
  6. Step 6: Final answer
    x = 1,928.90

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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.