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Finding the Fourth Proportional to 2,103.51, 2,902.49 and 1,358.46

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Solution

The fourth proportional to 2,103.51, 2,902.49 and 1,358.46 is: 1,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.51 : 2,902.49 = 1,358.46 : x
  2. Step 2: Convert to fraction form
    2,103.51/2,902.49 = 1,358.46/x
  3. Step 3: Cross multiply
    2,103.51x = 2,902.49 × 1,358.46
  4. Step 4: Simplify right side
    2,103.51x = 3,942,916.57
  5. Step 5: Solve for x
    x = 3,942,916.57/2,103.51
  6. Step 6: Final answer
    x = 1,874.45

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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.