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Finding the Fourth Proportional to 2,114.02, 3,172.23 and 1,421.02

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Solution

The fourth proportional to 2,114.02, 3,172.23 and 1,421.02 is: 2,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.02 : 3,172.23 = 1,421.02 : x
  2. Step 2: Convert to fraction form
    2,114.02/3,172.23 = 1,421.02/x
  3. Step 3: Cross multiply
    2,114.02x = 3,172.23 × 1,421.02
  4. Step 4: Simplify right side
    2,114.02x = 4,507,802.27
  5. Step 5: Solve for x
    x = 4,507,802.27/2,114.02
  6. Step 6: Final answer
    x = 2,132.34

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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.