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Finding the Fourth Proportional to 1,521.16, 2,281.74 and 546.73

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Solution

The fourth proportional to 1,521.16, 2,281.74 and 546.73 is: 820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.16 : 2,281.74 = 546.73 : x
  2. Step 2: Convert to fraction form
    1,521.16/2,281.74 = 546.73/x
  3. Step 3: Cross multiply
    1,521.16x = 2,281.74 × 546.73
  4. Step 4: Simplify right side
    1,521.16x = 1,247,495.71
  5. Step 5: Solve for x
    x = 1,247,495.71/1,521.16
  6. Step 6: Final answer
    x = 820.10

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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.