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Finding the Fourth Proportional to 2,315.68, 3,473.52 and 1,546.72

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Solution

The fourth proportional to 2,315.68, 3,473.52 and 1,546.72 is: 2,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.68 : 3,473.52 = 1,546.72 : x
  2. Step 2: Convert to fraction form
    2,315.68/3,473.52 = 1,546.72/x
  3. Step 3: Cross multiply
    2,315.68x = 3,473.52 × 1,546.72
  4. Step 4: Simplify right side
    2,315.68x = 5,372,562.85
  5. Step 5: Solve for x
    x = 5,372,562.85/2,315.68
  6. Step 6: Final answer
    x = 2,320.08

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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.