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Finding the Fourth Proportional to 2,389.94, 3,577.95 and 1,776.37

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Solution

The fourth proportional to 2,389.94, 3,577.95 and 1,776.37 is: 2,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.94 : 3,577.95 = 1,776.37 : x
  2. Step 2: Convert to fraction form
    2,389.94/3,577.95 = 1,776.37/x
  3. Step 3: Cross multiply
    2,389.94x = 3,577.95 × 1,776.37
  4. Step 4: Simplify right side
    2,389.94x = 6,355,763.04
  5. Step 5: Solve for x
    x = 6,355,763.04/2,389.94
  6. Step 6: Final answer
    x = 2,659.38

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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.