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Finding the Fourth Proportional to 1,871.28, 2,803.68 and 1,454.94

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Solution

The fourth proportional to 1,871.28, 2,803.68 and 1,454.94 is: 2,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.28 : 2,803.68 = 1,454.94 : x
  2. Step 2: Convert to fraction form
    1,871.28/2,803.68 = 1,454.94/x
  3. Step 3: Cross multiply
    1,871.28x = 2,803.68 × 1,454.94
  4. Step 4: Simplify right side
    1,871.28x = 4,079,186.18
  5. Step 5: Solve for x
    x = 4,079,186.18/1,871.28
  6. Step 6: Final answer
    x = 2,179.89

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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.