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Finding the Fourth Proportional to 3,366.80, 5,052.32 and 1,419.00

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Solution

The fourth proportional to 3,366.80, 5,052.32 and 1,419.00 is: 2,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.80 : 5,052.32 = 1,419.00 : x
  2. Step 2: Convert to fraction form
    3,366.80/5,052.32 = 1,419.00/x
  3. Step 3: Cross multiply
    3,366.80x = 5,052.32 × 1,419.00
  4. Step 4: Simplify right side
    3,366.80x = 7,169,257.76
  5. Step 5: Solve for x
    x = 7,169,257.76/3,366.80
  6. Step 6: Final answer
    x = 2,129.40

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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.