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Finding the Fourth Proportional to 2,050.48, 3,075.09 and 752.05

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Solution

The fourth proportional to 2,050.48, 3,075.09 and 752.05 is: 1,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.48 : 3,075.09 = 752.05 : x
  2. Step 2: Convert to fraction form
    2,050.48/3,075.09 = 752.05/x
  3. Step 3: Cross multiply
    2,050.48x = 3,075.09 × 752.05
  4. Step 4: Simplify right side
    2,050.48x = 2,312,621.43
  5. Step 5: Solve for x
    x = 2,312,621.43/2,050.48
  6. Step 6: Final answer
    x = 1,127.84

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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.