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Finding the Fourth Proportional to 2,529.58, 3,491.02 and 1,410.88

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Solution

The fourth proportional to 2,529.58, 3,491.02 and 1,410.88 is: 1,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.58 : 3,491.02 = 1,410.88 : x
  2. Step 2: Convert to fraction form
    2,529.58/3,491.02 = 1,410.88/x
  3. Step 3: Cross multiply
    2,529.58x = 3,491.02 × 1,410.88
  4. Step 4: Simplify right side
    2,529.58x = 4,925,410.30
  5. Step 5: Solve for x
    x = 4,925,410.30/2,529.58
  6. Step 6: Final answer
    x = 1,947.13

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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.