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Finding the Fourth Proportional to 2,681.10, 3,699.84 and 1,486.12

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Solution

The fourth proportional to 2,681.10, 3,699.84 and 1,486.12 is: 2,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.10 : 3,699.84 = 1,486.12 : x
  2. Step 2: Convert to fraction form
    2,681.10/3,699.84 = 1,486.12/x
  3. Step 3: Cross multiply
    2,681.10x = 3,699.84 × 1,486.12
  4. Step 4: Simplify right side
    2,681.10x = 5,498,406.22
  5. Step 5: Solve for x
    x = 5,498,406.22/2,681.10
  6. Step 6: Final answer
    x = 2,050.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.