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Finding the Fourth Proportional to 2,400.31, 3,312.43 and 1,296.31

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Solution

The fourth proportional to 2,400.31, 3,312.43 and 1,296.31 is: 1,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.31 : 3,312.43 = 1,296.31 : x
  2. Step 2: Convert to fraction form
    2,400.31/3,312.43 = 1,296.31/x
  3. Step 3: Cross multiply
    2,400.31x = 3,312.43 × 1,296.31
  4. Step 4: Simplify right side
    2,400.31x = 4,293,946.03
  5. Step 5: Solve for x
    x = 4,293,946.03/2,400.31
  6. Step 6: Final answer
    x = 1,788.91

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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.