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Finding the Fourth Proportional to 1,917.61, 2,647.01 and 1,684.05

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Solution

The fourth proportional to 1,917.61, 2,647.01 and 1,684.05 is: 2,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.61 : 2,647.01 = 1,684.05 : x
  2. Step 2: Convert to fraction form
    1,917.61/2,647.01 = 1,684.05/x
  3. Step 3: Cross multiply
    1,917.61x = 2,647.01 × 1,684.05
  4. Step 4: Simplify right side
    1,917.61x = 4,457,689.78
  5. Step 5: Solve for x
    x = 4,457,689.78/1,917.61
  6. Step 6: Final answer
    x = 2,324.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.