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Finding the Fourth Proportional to 2,151.54, 2,967.09 and 1,444.98

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Solution

The fourth proportional to 2,151.54, 2,967.09 and 1,444.98 is: 1,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.54 : 2,967.09 = 1,444.98 : x
  2. Step 2: Convert to fraction form
    2,151.54/2,967.09 = 1,444.98/x
  3. Step 3: Cross multiply
    2,151.54x = 2,967.09 × 1,444.98
  4. Step 4: Simplify right side
    2,151.54x = 4,287,385.71
  5. Step 5: Solve for x
    x = 4,287,385.71/2,151.54
  6. Step 6: Final answer
    x = 1,992.71

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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.