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Finding the Fourth Proportional to 2,114.40, 3,171.60 and 2,071.20

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Solution

The fourth proportional to 2,114.40, 3,171.60 and 2,071.20 is: 3,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 3,171.60 = 2,071.20 : x
  2. Step 2: Convert to fraction form
    2,114.40/3,171.60 = 2,071.20/x
  3. Step 3: Cross multiply
    2,114.40x = 3,171.60 × 2,071.20
  4. Step 4: Simplify right side
    2,114.40x = 6,569,017.92
  5. Step 5: Solve for x
    x = 6,569,017.92/2,114.40
  6. Step 6: Final answer
    x = 3,106.80

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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.