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Finding the Fourth Proportional to 2,103.46, 2,901.29 and 1,786.52

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Solution

The fourth proportional to 2,103.46, 2,901.29 and 1,786.52 is: 2,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.46 : 2,901.29 = 1,786.52 : x
  2. Step 2: Convert to fraction form
    2,103.46/2,901.29 = 1,786.52/x
  3. Step 3: Cross multiply
    2,103.46x = 2,901.29 × 1,786.52
  4. Step 4: Simplify right side
    2,103.46x = 5,183,210.93
  5. Step 5: Solve for x
    x = 5,183,210.93/2,103.46
  6. Step 6: Final answer
    x = 2,464.14

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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.