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Finding the Fourth Proportional to 2,706.40, 4,050.96 and 1,406.08

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Solution

The fourth proportional to 2,706.40, 4,050.96 and 1,406.08 is: 2,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.40 : 4,050.96 = 1,406.08 : x
  2. Step 2: Convert to fraction form
    2,706.40/4,050.96 = 1,406.08/x
  3. Step 3: Cross multiply
    2,706.40x = 4,050.96 × 1,406.08
  4. Step 4: Simplify right side
    2,706.40x = 5,695,973.84
  5. Step 5: Solve for x
    x = 5,695,973.84/2,706.40
  6. Step 6: Final answer
    x = 2,104.63

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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.