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Finding the Fourth Proportional to 2,151.66, 3,222.02 and 1,419.02

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Solution

The fourth proportional to 2,151.66, 3,222.02 and 1,419.02 is: 2,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.66 : 3,222.02 = 1,419.02 : x
  2. Step 2: Convert to fraction form
    2,151.66/3,222.02 = 1,419.02/x
  3. Step 3: Cross multiply
    2,151.66x = 3,222.02 × 1,419.02
  4. Step 4: Simplify right side
    2,151.66x = 4,572,110.82
  5. Step 5: Solve for x
    x = 4,572,110.82/2,151.66
  6. Step 6: Final answer
    x = 2,124.92

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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.