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Finding the Fourth Proportional to 2,529.63, 3,490.09 and 1,744.13

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Solution

The fourth proportional to 2,529.63, 3,490.09 and 1,744.13 is: 2,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.63 : 3,490.09 = 1,744.13 : x
  2. Step 2: Convert to fraction form
    2,529.63/3,490.09 = 1,744.13/x
  3. Step 3: Cross multiply
    2,529.63x = 3,490.09 × 1,744.13
  4. Step 4: Simplify right side
    2,529.63x = 6,087,175.04
  5. Step 5: Solve for x
    x = 6,087,175.04/2,529.63
  6. Step 6: Final answer
    x = 2,406.35

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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.