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Finding the Fourth Proportional to 1,521.21, 2,281.50 and 425.28

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Solution

The fourth proportional to 1,521.21, 2,281.50 and 425.28 is: 637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.21 : 2,281.50 = 425.28 : x
  2. Step 2: Convert to fraction form
    1,521.21/2,281.50 = 425.28/x
  3. Step 3: Cross multiply
    1,521.21x = 2,281.50 × 425.28
  4. Step 4: Simplify right side
    1,521.21x = 970,284.88
  5. Step 5: Solve for x
    x = 970,284.88/1,521.21
  6. Step 6: Final answer
    x = 637.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.