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Finding the Fourth Proportional to 2,150.10, 3,225.14 and 1,419.50

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Solution

The fourth proportional to 2,150.10, 3,225.14 and 1,419.50 is: 2,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.10 : 3,225.14 = 1,419.50 : x
  2. Step 2: Convert to fraction form
    2,150.10/3,225.14 = 1,419.50/x
  3. Step 3: Cross multiply
    2,150.10x = 3,225.14 × 1,419.50
  4. Step 4: Simplify right side
    2,150.10x = 4,578,086.23
  5. Step 5: Solve for x
    x = 4,578,086.23/2,150.10
  6. Step 6: Final answer
    x = 2,129.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.