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Finding the Fourth Proportional to 1,920.39, 2,660.85 and 1,878.87

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Solution

The fourth proportional to 1,920.39, 2,660.85 and 1,878.87 is: 2,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.39 : 2,660.85 = 1,878.87 : x
  2. Step 2: Convert to fraction form
    1,920.39/2,660.85 = 1,878.87/x
  3. Step 3: Cross multiply
    1,920.39x = 2,660.85 × 1,878.87
  4. Step 4: Simplify right side
    1,920.39x = 4,999,388.50
  5. Step 5: Solve for x
    x = 4,999,388.50/1,920.39
  6. Step 6: Final answer
    x = 2,603.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.