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Finding the Fourth Proportional to 2,075.26, 3,097.71 and 1,829.22

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Solution

The fourth proportional to 2,075.26, 3,097.71 and 1,829.22 is: 2,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.26 : 3,097.71 = 1,829.22 : x
  2. Step 2: Convert to fraction form
    2,075.26/3,097.71 = 1,829.22/x
  3. Step 3: Cross multiply
    2,075.26x = 3,097.71 × 1,829.22
  4. Step 4: Simplify right side
    2,075.26x = 5,666,393.09
  5. Step 5: Solve for x
    x = 5,666,393.09/2,075.26
  6. Step 6: Final answer
    x = 2,730.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.