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Finding the Fourth Proportional to 1,420.56, 2,129.29 and 1,214.53

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Solution

The fourth proportional to 1,420.56, 2,129.29 and 1,214.53 is: 1,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 2,129.29 = 1,214.53 : x
  2. Step 2: Convert to fraction form
    1,420.56/2,129.29 = 1,214.53/x
  3. Step 3: Cross multiply
    1,420.56x = 2,129.29 × 1,214.53
  4. Step 4: Simplify right side
    1,420.56x = 2,586,078.22
  5. Step 5: Solve for x
    x = 2,586,078.22/1,420.56
  6. Step 6: Final answer
    x = 1,820.46

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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.