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Finding the Fourth Proportional to 1,382.34, 2,071.86 and 1,056.72

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Solution

The fourth proportional to 1,382.34, 2,071.86 and 1,056.72 is: 1,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.34 : 2,071.86 = 1,056.72 : x
  2. Step 2: Convert to fraction form
    1,382.34/2,071.86 = 1,056.72/x
  3. Step 3: Cross multiply
    1,382.34x = 2,071.86 × 1,056.72
  4. Step 4: Simplify right side
    1,382.34x = 2,189,375.90
  5. Step 5: Solve for x
    x = 2,189,375.90/1,382.34
  6. Step 6: Final answer
    x = 1,583.82

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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.