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Finding the Fourth Proportional to 1,917.69, 2,876.06 and 821.93

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Solution

The fourth proportional to 1,917.69, 2,876.06 and 821.93 is: 1,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.69 : 2,876.06 = 821.93 : x
  2. Step 2: Convert to fraction form
    1,917.69/2,876.06 = 821.93/x
  3. Step 3: Cross multiply
    1,917.69x = 2,876.06 × 821.93
  4. Step 4: Simplify right side
    1,917.69x = 2,363,920.00
  5. Step 5: Solve for x
    x = 2,363,920.00/1,917.69
  6. Step 6: Final answer
    x = 1,232.69

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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.