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Finding the Fourth Proportional to 1,917.81, 2,876.64 and 549.81

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Solution

The fourth proportional to 1,917.81, 2,876.64 and 549.81 is: 824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.81 : 2,876.64 = 549.81 : x
  2. Step 2: Convert to fraction form
    1,917.81/2,876.64 = 549.81/x
  3. Step 3: Cross multiply
    1,917.81x = 2,876.64 × 549.81
  4. Step 4: Simplify right side
    1,917.81x = 1,581,605.44
  5. Step 5: Solve for x
    x = 1,581,605.44/1,917.81
  6. Step 6: Final answer
    x = 824.69

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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.