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Finding the Fourth Proportional to 1,309.85, 1,973.74 and 1,083.81

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Solution

The fourth proportional to 1,309.85, 1,973.74 and 1,083.81 is: 1,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.85 : 1,973.74 = 1,083.81 : x
  2. Step 2: Convert to fraction form
    1,309.85/1,973.74 = 1,083.81/x
  3. Step 3: Cross multiply
    1,309.85x = 1,973.74 × 1,083.81
  4. Step 4: Simplify right side
    1,309.85x = 2,139,152.27
  5. Step 5: Solve for x
    x = 2,139,152.27/1,309.85
  6. Step 6: Final answer
    x = 1,633.13

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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.