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Finding the Fourth Proportional to 2,158.76, 3,235.96 and 841.69

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Solution

The fourth proportional to 2,158.76, 3,235.96 and 841.69 is: 1,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.76 : 3,235.96 = 841.69 : x
  2. Step 2: Convert to fraction form
    2,158.76/3,235.96 = 841.69/x
  3. Step 3: Cross multiply
    2,158.76x = 3,235.96 × 841.69
  4. Step 4: Simplify right side
    2,158.76x = 2,723,664.98
  5. Step 5: Solve for x
    x = 2,723,664.98/2,158.76
  6. Step 6: Final answer
    x = 1,261.68

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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.