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Finding the Fourth Proportional to 2,529.29, 3,490.29 and 1,410.14

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Solution

The fourth proportional to 2,529.29, 3,490.29 and 1,410.14 is: 1,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.29 : 3,490.29 = 1,410.14 : x
  2. Step 2: Convert to fraction form
    2,529.29/3,490.29 = 1,410.14/x
  3. Step 3: Cross multiply
    2,529.29x = 3,490.29 × 1,410.14
  4. Step 4: Simplify right side
    2,529.29x = 4,921,797.54
  5. Step 5: Solve for x
    x = 4,921,797.54/2,529.29
  6. Step 6: Final answer
    x = 1,945.92

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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.