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Finding the Fourth Proportional to 2,703, 4,051.88 and 1,314.72

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Solution

The fourth proportional to 2,703, 4,051.88 and 1,314.72 is: 1,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703 : 4,051.88 = 1,314.72 : x
  2. Step 2: Convert to fraction form
    2,703/4,051.88 = 1,314.72/x
  3. Step 3: Cross multiply
    2,703x = 4,051.88 × 1,314.72
  4. Step 4: Simplify right side
    2,703x = 5,327,087.67
  5. Step 5: Solve for x
    x = 5,327,087.67/2,703
  6. Step 6: Final answer
    x = 1,970.81

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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.