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Finding the Fourth Proportional to 2,675.31, 4,014.64 and 1,288.80

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Solution

The fourth proportional to 2,675.31, 4,014.64 and 1,288.80 is: 1,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.31 : 4,014.64 = 1,288.80 : x
  2. Step 2: Convert to fraction form
    2,675.31/4,014.64 = 1,288.80/x
  3. Step 3: Cross multiply
    2,675.31x = 4,014.64 × 1,288.80
  4. Step 4: Simplify right side
    2,675.31x = 5,174,068.03
  5. Step 5: Solve for x
    x = 5,174,068.03/2,675.31
  6. Step 6: Final answer
    x = 1,934.01

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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.