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Finding the Fourth Proportional to 2,914.52, 4,022 and 1,588.22

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Solution

The fourth proportional to 2,914.52, 4,022 and 1,588.22 is: 2,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.52 : 4,022 = 1,588.22 : x
  2. Step 2: Convert to fraction form
    2,914.52/4,022 = 1,588.22/x
  3. Step 3: Cross multiply
    2,914.52x = 4,022 × 1,588.22
  4. Step 4: Simplify right side
    2,914.52x = 6,387,820.84
  5. Step 5: Solve for x
    x = 6,387,820.84/2,914.52
  6. Step 6: Final answer
    x = 2,191.72

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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.