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Finding the Fourth Proportional to 2,706.18, 4,058.06 and 1,245.75

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Solution

The fourth proportional to 2,706.18, 4,058.06 and 1,245.75 is: 1,868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.18 : 4,058.06 = 1,245.75 : x
  2. Step 2: Convert to fraction form
    2,706.18/4,058.06 = 1,245.75/x
  3. Step 3: Cross multiply
    2,706.18x = 4,058.06 × 1,245.75
  4. Step 4: Simplify right side
    2,706.18x = 5,055,322.02
  5. Step 5: Solve for x
    x = 5,055,322.02/2,706.18
  6. Step 6: Final answer
    x = 1,868.07

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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.