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Finding the Fourth Proportional to 2,705.81, 4,056.89 and 1,319.49

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Solution

The fourth proportional to 2,705.81, 4,056.89 and 1,319.49 is: 1,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.81 : 4,056.89 = 1,319.49 : x
  2. Step 2: Convert to fraction form
    2,705.81/4,056.89 = 1,319.49/x
  3. Step 3: Cross multiply
    2,705.81x = 4,056.89 × 1,319.49
  4. Step 4: Simplify right side
    2,705.81x = 5,353,019.19
  5. Step 5: Solve for x
    x = 5,353,019.19/2,705.81
  6. Step 6: Final answer
    x = 1,978.35

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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.