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Finding the Fourth Proportional to 1,834.84, 2,531.24 and 1,276.64

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Solution

The fourth proportional to 1,834.84, 2,531.24 and 1,276.64 is: 1,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.84 : 2,531.24 = 1,276.64 : x
  2. Step 2: Convert to fraction form
    1,834.84/2,531.24 = 1,276.64/x
  3. Step 3: Cross multiply
    1,834.84x = 2,531.24 × 1,276.64
  4. Step 4: Simplify right side
    1,834.84x = 3,231,482.23
  5. Step 5: Solve for x
    x = 3,231,482.23/1,834.84
  6. Step 6: Final answer
    x = 1,761.18

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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.