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Finding the Fourth Proportional to 2,475.34, 3,713.65 and 1,088.94

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Solution

The fourth proportional to 2,475.34, 3,713.65 and 1,088.94 is: 1,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.34 : 3,713.65 = 1,088.94 : x
  2. Step 2: Convert to fraction form
    2,475.34/3,713.65 = 1,088.94/x
  3. Step 3: Cross multiply
    2,475.34x = 3,713.65 × 1,088.94
  4. Step 4: Simplify right side
    2,475.34x = 4,043,942.03
  5. Step 5: Solve for x
    x = 4,043,942.03/2,475.34
  6. Step 6: Final answer
    x = 1,633.69

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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.