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Finding the Fourth Proportional to 1,387.42, 2,080.36 and 997.60

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Solution

The fourth proportional to 1,387.42, 2,080.36 and 997.60 is: 1,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.42 : 2,080.36 = 997.60 : x
  2. Step 2: Convert to fraction form
    1,387.42/2,080.36 = 997.60/x
  3. Step 3: Cross multiply
    1,387.42x = 2,080.36 × 997.60
  4. Step 4: Simplify right side
    1,387.42x = 2,075,367.14
  5. Step 5: Solve for x
    x = 2,075,367.14/1,387.42
  6. Step 6: Final answer
    x = 1,495.85

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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.