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Finding the Fourth Proportional to 2,075.52, 3,113.27 and 889.39

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Solution

The fourth proportional to 2,075.52, 3,113.27 and 889.39 is: 1,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.52 : 3,113.27 = 889.39 : x
  2. Step 2: Convert to fraction form
    2,075.52/3,113.27 = 889.39/x
  3. Step 3: Cross multiply
    2,075.52x = 3,113.27 × 889.39
  4. Step 4: Simplify right side
    2,075.52x = 2,768,905.09
  5. Step 5: Solve for x
    x = 2,768,905.09/2,075.52
  6. Step 6: Final answer
    x = 1,334.08

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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.