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Finding the Fourth Proportional to 1,419.35, 1,946.48 and 1,360.22

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Solution

The fourth proportional to 1,419.35, 1,946.48 and 1,360.22 is: 1,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.35 : 1,946.48 = 1,360.22 : x
  2. Step 2: Convert to fraction form
    1,419.35/1,946.48 = 1,360.22/x
  3. Step 3: Cross multiply
    1,419.35x = 1,946.48 × 1,360.22
  4. Step 4: Simplify right side
    1,419.35x = 2,647,641.03
  5. Step 5: Solve for x
    x = 2,647,641.03/1,419.35
  6. Step 6: Final answer
    x = 1,865.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.