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Finding the Fourth Proportional to 2,048.93, 3,075.68 and 1,061.48

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Solution

The fourth proportional to 2,048.93, 3,075.68 and 1,061.48 is: 1,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.93 : 3,075.68 = 1,061.48 : x
  2. Step 2: Convert to fraction form
    2,048.93/3,075.68 = 1,061.48/x
  3. Step 3: Cross multiply
    2,048.93x = 3,075.68 × 1,061.48
  4. Step 4: Simplify right side
    2,048.93x = 3,264,775.19
  5. Step 5: Solve for x
    x = 3,264,775.19/2,048.93
  6. Step 6: Final answer
    x = 1,593.41

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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.