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Finding the Fourth Proportional to 1,614.08, 2,421.16 and 518.22

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Solution

The fourth proportional to 1,614.08, 2,421.16 and 518.22 is: 777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.08 : 2,421.16 = 518.22 : x
  2. Step 2: Convert to fraction form
    1,614.08/2,421.16 = 518.22/x
  3. Step 3: Cross multiply
    1,614.08x = 2,421.16 × 518.22
  4. Step 4: Simplify right side
    1,614.08x = 1,254,692.24
  5. Step 5: Solve for x
    x = 1,254,692.24/1,614.08
  6. Step 6: Final answer
    x = 777.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.