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Finding the Fourth Proportional to 1,387.37, 1,914.91 and 1,072.16

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Solution

The fourth proportional to 1,387.37, 1,914.91 and 1,072.16 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.37 : 1,914.91 = 1,072.16 : x
  2. Step 2: Convert to fraction form
    1,387.37/1,914.91 = 1,072.16/x
  3. Step 3: Cross multiply
    1,387.37x = 1,914.91 × 1,072.16
  4. Step 4: Simplify right side
    1,387.37x = 2,053,077.65
  5. Step 5: Solve for x
    x = 2,053,077.65/1,387.37
  6. Step 6: Final answer
    x = 1,479.83

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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.