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Finding the Fourth Proportional to 2,004, 2,765.76 and 1,176

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Solution

The fourth proportional to 2,004, 2,765.76 and 1,176 is: 1,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004 : 2,765.76 = 1,176 : x
  2. Step 2: Convert to fraction form
    2,004/2,765.76 = 1,176/x
  3. Step 3: Cross multiply
    2,004x = 2,765.76 × 1,176
  4. Step 4: Simplify right side
    2,004x = 3,252,533.76
  5. Step 5: Solve for x
    x = 3,252,533.76/2,004
  6. Step 6: Final answer
    x = 1,623.02

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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.