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Finding the Fourth Proportional to 2,075.78, 3,116.75 and 845.60

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Solution

The fourth proportional to 2,075.78, 3,116.75 and 845.60 is: 1,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.78 : 3,116.75 = 845.60 : x
  2. Step 2: Convert to fraction form
    2,075.78/3,116.75 = 845.60/x
  3. Step 3: Cross multiply
    2,075.78x = 3,116.75 × 845.60
  4. Step 4: Simplify right side
    2,075.78x = 2,635,503.99
  5. Step 5: Solve for x
    x = 2,635,503.99/2,075.78
  6. Step 6: Final answer
    x = 1,269.64

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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.