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Finding the Fourth Proportional to 2,151.42, 2,969.01 and 1,207.31

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Solution

The fourth proportional to 2,151.42, 2,969.01 and 1,207.31 is: 1,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.42 : 2,969.01 = 1,207.31 : x
  2. Step 2: Convert to fraction form
    2,151.42/2,969.01 = 1,207.31/x
  3. Step 3: Cross multiply
    2,151.42x = 2,969.01 × 1,207.31
  4. Step 4: Simplify right side
    2,151.42x = 3,584,500.62
  5. Step 5: Solve for x
    x = 3,584,500.62/2,151.42
  6. Step 6: Final answer
    x = 1,666.11

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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.