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Finding the Fourth Proportional to 2,776.98, 4,166.27 and 929.31

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Solution

The fourth proportional to 2,776.98, 4,166.27 and 929.31 is: 1,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.98 : 4,166.27 = 929.31 : x
  2. Step 2: Convert to fraction form
    2,776.98/4,166.27 = 929.31/x
  3. Step 3: Cross multiply
    2,776.98x = 4,166.27 × 929.31
  4. Step 4: Simplify right side
    2,776.98x = 3,871,756.37
  5. Step 5: Solve for x
    x = 3,871,756.37/2,776.98
  6. Step 6: Final answer
    x = 1,394.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.