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Finding the Fourth Proportional to 2,607.93, 3,907.00 and 1,290.14

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Solution

The fourth proportional to 2,607.93, 3,907.00 and 1,290.14 is: 1,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.93 : 3,907.00 = 1,290.14 : x
  2. Step 2: Convert to fraction form
    2,607.93/3,907.00 = 1,290.14/x
  3. Step 3: Cross multiply
    2,607.93x = 3,907.00 × 1,290.14
  4. Step 4: Simplify right side
    2,607.93x = 5,040,595.69
  5. Step 5: Solve for x
    x = 5,040,595.69/2,607.93
  6. Step 6: Final answer
    x = 1,932.80

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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.