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Finding the Fourth Proportional to 2,705.63, 4,051.35 and 2,175.72

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Solution

The fourth proportional to 2,705.63, 4,051.35 and 2,175.72 is: 3,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.63 : 4,051.35 = 2,175.72 : x
  2. Step 2: Convert to fraction form
    2,705.63/4,051.35 = 2,175.72/x
  3. Step 3: Cross multiply
    2,705.63x = 4,051.35 × 2,175.72
  4. Step 4: Simplify right side
    2,705.63x = 8,814,603.22
  5. Step 5: Solve for x
    x = 8,814,603.22/2,705.63
  6. Step 6: Final answer
    x = 3,257.88

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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.