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Finding the Fourth Proportional to 2,111.58, 2,914.88 and 1,451.82

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Solution

The fourth proportional to 2,111.58, 2,914.88 and 1,451.82 is: 2,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.58 : 2,914.88 = 1,451.82 : x
  2. Step 2: Convert to fraction form
    2,111.58/2,914.88 = 1,451.82/x
  3. Step 3: Cross multiply
    2,111.58x = 2,914.88 × 1,451.82
  4. Step 4: Simplify right side
    2,111.58x = 4,231,881.08
  5. Step 5: Solve for x
    x = 4,231,881.08/2,111.58
  6. Step 6: Final answer
    x = 2,004.13

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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.