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Finding the Fourth Proportional to 2,050.50, 3,075.75 and 665.00

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Solution

The fourth proportional to 2,050.50, 3,075.75 and 665.00 is: 997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.50 : 3,075.75 = 665.00 : x
  2. Step 2: Convert to fraction form
    2,050.50/3,075.75 = 665.00/x
  3. Step 3: Cross multiply
    2,050.50x = 3,075.75 × 665.00
  4. Step 4: Simplify right side
    2,050.50x = 2,045,358.37
  5. Step 5: Solve for x
    x = 2,045,358.37/2,050.50
  6. Step 6: Final answer
    x = 997.49

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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.