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Finding the Fourth Proportional to 2,574.31, 3,851.74 and 2,017.03

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Solution

The fourth proportional to 2,574.31, 3,851.74 and 2,017.03 is: 3,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.31 : 3,851.74 = 2,017.03 : x
  2. Step 2: Convert to fraction form
    2,574.31/3,851.74 = 2,017.03/x
  3. Step 3: Cross multiply
    2,574.31x = 3,851.74 × 2,017.03
  4. Step 4: Simplify right side
    2,574.31x = 7,769,075.13
  5. Step 5: Solve for x
    x = 7,769,075.13/2,574.31
  6. Step 6: Final answer
    x = 3,017.93

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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.