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Finding the Fourth Proportional to 1,852.93, 2,780.49 and 683.76

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Solution

The fourth proportional to 1,852.93, 2,780.49 and 683.76 is: 1,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.93 : 2,780.49 = 683.76 : x
  2. Step 2: Convert to fraction form
    1,852.93/2,780.49 = 683.76/x
  3. Step 3: Cross multiply
    1,852.93x = 2,780.49 × 683.76
  4. Step 4: Simplify right side
    1,852.93x = 1,901,187.84
  5. Step 5: Solve for x
    x = 1,901,187.84/1,852.93
  6. Step 6: Final answer
    x = 1,026.04

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