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Finding the Fourth Proportional to 2,685.12, 4,027.62 and 836.01

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Solution

The fourth proportional to 2,685.12, 4,027.62 and 836.01 is: 1,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.12 : 4,027.62 = 836.01 : x
  2. Step 2: Convert to fraction form
    2,685.12/4,027.62 = 836.01/x
  3. Step 3: Cross multiply
    2,685.12x = 4,027.62 × 836.01
  4. Step 4: Simplify right side
    2,685.12x = 3,367,130.60
  5. Step 5: Solve for x
    x = 3,367,130.60/2,685.12
  6. Step 6: Final answer
    x = 1,254.00

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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.