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Finding the Fourth Proportional to 3,171.48, 4,758.84 and 2,075.64

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Solution

The fourth proportional to 3,171.48, 4,758.84 and 2,075.64 is: 3,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.48 : 4,758.84 = 2,075.64 : x
  2. Step 2: Convert to fraction form
    3,171.48/4,758.84 = 2,075.64/x
  3. Step 3: Cross multiply
    3,171.48x = 4,758.84 × 2,075.64
  4. Step 4: Simplify right side
    3,171.48x = 9,877,638.66
  5. Step 5: Solve for x
    x = 9,877,638.66/3,171.48
  6. Step 6: Final answer
    x = 3,114.52

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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.