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Finding the Fourth Proportional to 2,914.23, 4,021.50 and 1,655.22

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Solution

The fourth proportional to 2,914.23, 4,021.50 and 1,655.22 is: 2,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.23 : 4,021.50 = 1,655.22 : x
  2. Step 2: Convert to fraction form
    2,914.23/4,021.50 = 1,655.22/x
  3. Step 3: Cross multiply
    2,914.23x = 4,021.50 × 1,655.22
  4. Step 4: Simplify right side
    2,914.23x = 6,656,467.23
  5. Step 5: Solve for x
    x = 6,656,467.23/2,914.23
  6. Step 6: Final answer
    x = 2,284.13

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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.