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Finding the Fourth Proportional to 2,705.75, 4,055.82 and 1,472.82

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Solution

The fourth proportional to 2,705.75, 4,055.82 and 1,472.82 is: 2,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.75 : 4,055.82 = 1,472.82 : x
  2. Step 2: Convert to fraction form
    2,705.75/4,055.82 = 1,472.82/x
  3. Step 3: Cross multiply
    2,705.75x = 4,055.82 × 1,472.82
  4. Step 4: Simplify right side
    2,705.75x = 5,973,492.81
  5. Step 5: Solve for x
    x = 5,973,492.81/2,705.75
  6. Step 6: Final answer
    x = 2,207.71

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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.