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Finding the Fourth Proportional to 2,614.16, 3,921.30 and 666.38

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Solution

The fourth proportional to 2,614.16, 3,921.30 and 666.38 is: 999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.16 : 3,921.30 = 666.38 : x
  2. Step 2: Convert to fraction form
    2,614.16/3,921.30 = 666.38/x
  3. Step 3: Cross multiply
    2,614.16x = 3,921.30 × 666.38
  4. Step 4: Simplify right side
    2,614.16x = 2,613,075.89
  5. Step 5: Solve for x
    x = 2,613,075.89/2,614.16
  6. Step 6: Final answer
    x = 999.59

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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.