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Finding the Fourth Proportional to 2,075.63, 3,114.32 and 980.78

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Solution

The fourth proportional to 2,075.63, 3,114.32 and 980.78 is: 1,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.63 : 3,114.32 = 980.78 : x
  2. Step 2: Convert to fraction form
    2,075.63/3,114.32 = 980.78/x
  3. Step 3: Cross multiply
    2,075.63x = 3,114.32 × 980.78
  4. Step 4: Simplify right side
    2,075.63x = 3,054,442.29
  5. Step 5: Solve for x
    x = 3,054,442.29/2,075.63
  6. Step 6: Final answer
    x = 1,471.58

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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.