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Finding the Fourth Proportional to 2,706.04, 4,058.34 and 758.08

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Solution

The fourth proportional to 2,706.04, 4,058.34 and 758.08 is: 1,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.04 : 4,058.34 = 758.08 : x
  2. Step 2: Convert to fraction form
    2,706.04/4,058.34 = 758.08/x
  3. Step 3: Cross multiply
    2,706.04x = 4,058.34 × 758.08
  4. Step 4: Simplify right side
    2,706.04x = 3,076,546.39
  5. Step 5: Solve for x
    x = 3,076,546.39/2,706.04
  6. Step 6: Final answer
    x = 1,136.92

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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.