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Finding the Fourth Proportional to 2,104.47, 2,904.03 and 1,160.10

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Solution

The fourth proportional to 2,104.47, 2,904.03 and 1,160.10 is: 1,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.47 : 2,904.03 = 1,160.10 : x
  2. Step 2: Convert to fraction form
    2,104.47/2,904.03 = 1,160.10/x
  3. Step 3: Cross multiply
    2,104.47x = 2,904.03 × 1,160.10
  4. Step 4: Simplify right side
    2,104.47x = 3,368,965.20
  5. Step 5: Solve for x
    x = 3,368,965.20/2,104.47
  6. Step 6: Final answer
    x = 1,600.86

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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.