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Finding the Fourth Proportional to 1,673.81, 2,309.58 and 927.77

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Solution

The fourth proportional to 1,673.81, 2,309.58 and 927.77 is: 1,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.81 : 2,309.58 = 927.77 : x
  2. Step 2: Convert to fraction form
    1,673.81/2,309.58 = 927.77/x
  3. Step 3: Cross multiply
    1,673.81x = 2,309.58 × 927.77
  4. Step 4: Simplify right side
    1,673.81x = 2,142,760.48
  5. Step 5: Solve for x
    x = 2,142,760.48/1,673.81
  6. Step 6: Final answer
    x = 1,280.17

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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.