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Finding the Fourth Proportional to 2,050.60, 3,075.90 and 664.90

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Solution

The fourth proportional to 2,050.60, 3,075.90 and 664.90 is: 997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.60 : 3,075.90 = 664.90 : x
  2. Step 2: Convert to fraction form
    2,050.60/3,075.90 = 664.90/x
  3. Step 3: Cross multiply
    2,050.60x = 3,075.90 × 664.90
  4. Step 4: Simplify right side
    2,050.60x = 2,045,165.91
  5. Step 5: Solve for x
    x = 2,045,165.91/2,050.60
  6. Step 6: Final answer
    x = 997.35

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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.