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Finding the Fourth Proportional to 1,309.34, 1,973.01 and 1,083.31

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Solution

The fourth proportional to 1,309.34, 1,973.01 and 1,083.31 is: 1,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.34 : 1,973.01 = 1,083.31 : x
  2. Step 2: Convert to fraction form
    1,309.34/1,973.01 = 1,083.31/x
  3. Step 3: Cross multiply
    1,309.34x = 1,973.01 × 1,083.31
  4. Step 4: Simplify right side
    1,309.34x = 2,137,381.46
  5. Step 5: Solve for x
    x = 2,137,381.46/1,309.34
  6. Step 6: Final answer
    x = 1,632.41

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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.