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Finding the Fourth Proportional to 2,104.35, 2,904.00 and 1,160.11

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Solution

The fourth proportional to 2,104.35, 2,904.00 and 1,160.11 is: 1,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.35 : 2,904.00 = 1,160.11 : x
  2. Step 2: Convert to fraction form
    2,104.35/2,904.00 = 1,160.11/x
  3. Step 3: Cross multiply
    2,104.35x = 2,904.00 × 1,160.11
  4. Step 4: Simplify right side
    2,104.35x = 3,368,958.72
  5. Step 5: Solve for x
    x = 3,368,958.72/2,104.35
  6. Step 6: Final answer
    x = 1,600.95

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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.