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Finding the Fourth Proportional to 2,714.34, 4,069.08 and 1,072.08

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Solution

The fourth proportional to 2,714.34, 4,069.08 and 1,072.08 is: 1,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.34 : 4,069.08 = 1,072.08 : x
  2. Step 2: Convert to fraction form
    2,714.34/4,069.08 = 1,072.08/x
  3. Step 3: Cross multiply
    2,714.34x = 4,069.08 × 1,072.08
  4. Step 4: Simplify right side
    2,714.34x = 4,362,379.29
  5. Step 5: Solve for x
    x = 4,362,379.29/2,714.34
  6. Step 6: Final answer
    x = 1,607.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.