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Finding the Fourth Proportional to 1,306.88, 1,969.36 and 1,244.31

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Solution

The fourth proportional to 1,306.88, 1,969.36 and 1,244.31 is: 1,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.88 : 1,969.36 = 1,244.31 : x
  2. Step 2: Convert to fraction form
    1,306.88/1,969.36 = 1,244.31/x
  3. Step 3: Cross multiply
    1,306.88x = 1,969.36 × 1,244.31
  4. Step 4: Simplify right side
    1,306.88x = 2,450,501.92
  5. Step 5: Solve for x
    x = 2,450,501.92/1,306.88
  6. Step 6: Final answer
    x = 1,875.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.