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Finding the Fourth Proportional to 2,071.80, 3,106.08 and 1,420.56

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Solution

The fourth proportional to 2,071.80, 3,106.08 and 1,420.56 is: 2,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.80 : 3,106.08 = 1,420.56 : x
  2. Step 2: Convert to fraction form
    2,071.80/3,106.08 = 1,420.56/x
  3. Step 3: Cross multiply
    2,071.80x = 3,106.08 × 1,420.56
  4. Step 4: Simplify right side
    2,071.80x = 4,412,373.00
  5. Step 5: Solve for x
    x = 4,412,373.00/2,071.80
  6. Step 6: Final answer
    x = 2,129.73

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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.