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Finding the Fourth Proportional to 2,075.34, 3,111.92 and 979.41

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Solution

The fourth proportional to 2,075.34, 3,111.92 and 979.41 is: 1,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.34 : 3,111.92 = 979.41 : x
  2. Step 2: Convert to fraction form
    2,075.34/3,111.92 = 979.41/x
  3. Step 3: Cross multiply
    2,075.34x = 3,111.92 × 979.41
  4. Step 4: Simplify right side
    2,075.34x = 3,047,845.57
  5. Step 5: Solve for x
    x = 3,047,845.57/2,075.34
  6. Step 6: Final answer
    x = 1,468.60

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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.