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Finding the Fourth Proportional to 2,685.51, 4,026.80 and 836.13

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Solution

The fourth proportional to 2,685.51, 4,026.80 and 836.13 is: 1,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.51 : 4,026.80 = 836.13 : x
  2. Step 2: Convert to fraction form
    2,685.51/4,026.80 = 836.13/x
  3. Step 3: Cross multiply
    2,685.51x = 4,026.80 × 836.13
  4. Step 4: Simplify right side
    2,685.51x = 3,366,928.28
  5. Step 5: Solve for x
    x = 3,366,928.28/2,685.51
  6. Step 6: Final answer
    x = 1,253.74

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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.