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Finding the Fourth Proportional to 3,075.88, 4,612 and 1,319.60

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Solution

The fourth proportional to 3,075.88, 4,612 and 1,319.60 is: 1,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.88 : 4,612 = 1,319.60 : x
  2. Step 2: Convert to fraction form
    3,075.88/4,612 = 1,319.60/x
  3. Step 3: Cross multiply
    3,075.88x = 4,612 × 1,319.60
  4. Step 4: Simplify right side
    3,075.88x = 6,085,995.20
  5. Step 5: Solve for x
    x = 6,085,995.20/3,075.88
  6. Step 6: Final answer
    x = 1,978.62

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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.