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Finding the Fourth Proportional to 2,353.35, 3,529.06 and 1,257.52

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Solution

The fourth proportional to 2,353.35, 3,529.06 and 1,257.52 is: 1,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.35 : 3,529.06 = 1,257.52 : x
  2. Step 2: Convert to fraction form
    2,353.35/3,529.06 = 1,257.52/x
  3. Step 3: Cross multiply
    2,353.35x = 3,529.06 × 1,257.52
  4. Step 4: Simplify right side
    2,353.35x = 4,437,863.53
  5. Step 5: Solve for x
    x = 4,437,863.53/2,353.35
  6. Step 6: Final answer
    x = 1,885.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.