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Finding the Fourth Proportional to 2,050.40, 3,075.57 and 663.82

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Solution

The fourth proportional to 2,050.40, 3,075.57 and 663.82 is: 995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.40 : 3,075.57 = 663.82 : x
  2. Step 2: Convert to fraction form
    2,050.40/3,075.57 = 663.82/x
  3. Step 3: Cross multiply
    2,050.40x = 3,075.57 × 663.82
  4. Step 4: Simplify right side
    2,050.40x = 2,041,617.19
  5. Step 5: Solve for x
    x = 2,041,617.19/2,050.40
  6. Step 6: Final answer
    x = 995.72

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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.