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Finding the Fourth Proportional to 2,102.47, 3,155.28 and 1,696.48

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Solution

The fourth proportional to 2,102.47, 3,155.28 and 1,696.48 is: 2,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.47 : 3,155.28 = 1,696.48 : x
  2. Step 2: Convert to fraction form
    2,102.47/3,155.28 = 1,696.48/x
  3. Step 3: Cross multiply
    2,102.47x = 3,155.28 × 1,696.48
  4. Step 4: Simplify right side
    2,102.47x = 5,352,869.41
  5. Step 5: Solve for x
    x = 5,352,869.41/2,102.47
  6. Step 6: Final answer
    x = 2,545.99

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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.