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Finding the Fourth Proportional to 2,355.64, 3,529.15 and 1,103.93

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Solution

The fourth proportional to 2,355.64, 3,529.15 and 1,103.93 is: 1,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.64 : 3,529.15 = 1,103.93 : x
  2. Step 2: Convert to fraction form
    2,355.64/3,529.15 = 1,103.93/x
  3. Step 3: Cross multiply
    2,355.64x = 3,529.15 × 1,103.93
  4. Step 4: Simplify right side
    2,355.64x = 3,895,934.56
  5. Step 5: Solve for x
    x = 3,895,934.56/2,355.64
  6. Step 6: Final answer
    x = 1,653.88

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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.