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Finding the Fourth Proportional to 2,438.52, 3,661.14 and 2,075.64

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Solution

The fourth proportional to 2,438.52, 3,661.14 and 2,075.64 is: 3,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.52 : 3,661.14 = 2,075.64 : x
  2. Step 2: Convert to fraction form
    2,438.52/3,661.14 = 2,075.64/x
  3. Step 3: Cross multiply
    2,438.52x = 3,661.14 × 2,075.64
  4. Step 4: Simplify right side
    2,438.52x = 7,599,208.63
  5. Step 5: Solve for x
    x = 7,599,208.63/2,438.52
  6. Step 6: Final answer
    x = 3,116.32

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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.