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Finding the Fourth Proportional to 2,161.72, 2,984.53 and 1,498.33

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Solution

The fourth proportional to 2,161.72, 2,984.53 and 1,498.33 is: 2,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.72 : 2,984.53 = 1,498.33 : x
  2. Step 2: Convert to fraction form
    2,161.72/2,984.53 = 1,498.33/x
  3. Step 3: Cross multiply
    2,161.72x = 2,984.53 × 1,498.33
  4. Step 4: Simplify right side
    2,161.72x = 4,471,795.91
  5. Step 5: Solve for x
    x = 4,471,795.91/2,161.72
  6. Step 6: Final answer
    x = 2,068.63

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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.