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Finding the Fourth Proportional to 2,156.47, 3,232.79 and 1,276.81

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Solution

The fourth proportional to 2,156.47, 3,232.79 and 1,276.81 is: 1,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.47 : 3,232.79 = 1,276.81 : x
  2. Step 2: Convert to fraction form
    2,156.47/3,232.79 = 1,276.81/x
  3. Step 3: Cross multiply
    2,156.47x = 3,232.79 × 1,276.81
  4. Step 4: Simplify right side
    2,156.47x = 4,127,636.05
  5. Step 5: Solve for x
    x = 4,127,636.05/2,156.47
  6. Step 6: Final answer
    x = 1,914.08

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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.