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Finding the Fourth Proportional to 2,529.57, 3,491.01 and 1,410.87

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Solution

The fourth proportional to 2,529.57, 3,491.01 and 1,410.87 is: 1,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.57 : 3,491.01 = 1,410.87 : x
  2. Step 2: Convert to fraction form
    2,529.57/3,491.01 = 1,410.87/x
  3. Step 3: Cross multiply
    2,529.57x = 3,491.01 × 1,410.87
  4. Step 4: Simplify right side
    2,529.57x = 4,925,361.28
  5. Step 5: Solve for x
    x = 4,925,361.28/2,529.57
  6. Step 6: Final answer
    x = 1,947.11

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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.