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Finding the Fourth Proportional to 2,639.01, 3,960.26 and 1,407.31

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Solution

The fourth proportional to 2,639.01, 3,960.26 and 1,407.31 is: 2,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.01 : 3,960.26 = 1,407.31 : x
  2. Step 2: Convert to fraction form
    2,639.01/3,960.26 = 1,407.31/x
  3. Step 3: Cross multiply
    2,639.01x = 3,960.26 × 1,407.31
  4. Step 4: Simplify right side
    2,639.01x = 5,573,307.12
  5. Step 5: Solve for x
    x = 5,573,307.12/2,639.01
  6. Step 6: Final answer
    x = 2,111.89

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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.