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Finding the Fourth Proportional to 2,914.53, 4,021.94 and 1,588.21

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Solution

The fourth proportional to 2,914.53, 4,021.94 and 1,588.21 is: 2,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.53 : 4,021.94 = 1,588.21 : x
  2. Step 2: Convert to fraction form
    2,914.53/4,021.94 = 1,588.21/x
  3. Step 3: Cross multiply
    2,914.53x = 4,021.94 × 1,588.21
  4. Step 4: Simplify right side
    2,914.53x = 6,387,670.31
  5. Step 5: Solve for x
    x = 6,387,670.31/2,914.53
  6. Step 6: Final answer
    x = 2,191.66

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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.