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Finding the Fourth Proportional to 1,546.53, 2,319.75 and 621.84

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Solution

The fourth proportional to 1,546.53, 2,319.75 and 621.84 is: 932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.53 : 2,319.75 = 621.84 : x
  2. Step 2: Convert to fraction form
    1,546.53/2,319.75 = 621.84/x
  3. Step 3: Cross multiply
    1,546.53x = 2,319.75 × 621.84
  4. Step 4: Simplify right side
    1,546.53x = 1,442,513.34
  5. Step 5: Solve for x
    x = 1,442,513.34/1,546.53
  6. Step 6: Final answer
    x = 932.74

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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.