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Finding the Fourth Proportional to 1,852.77, 2,780.55 and 683.91

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Solution

The fourth proportional to 1,852.77, 2,780.55 and 683.91 is: 1,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.77 : 2,780.55 = 683.91 : x
  2. Step 2: Convert to fraction form
    1,852.77/2,780.55 = 683.91/x
  3. Step 3: Cross multiply
    1,852.77x = 2,780.55 × 683.91
  4. Step 4: Simplify right side
    1,852.77x = 1,901,645.95
  5. Step 5: Solve for x
    x = 1,901,645.95/1,852.77
  6. Step 6: Final answer
    x = 1,026.38

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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.