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Finding the Fourth Proportional to 1,820.21, 2,730.30 and 521.67

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Solution

The fourth proportional to 1,820.21, 2,730.30 and 521.67 is: 782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.21 : 2,730.30 = 521.67 : x
  2. Step 2: Convert to fraction form
    1,820.21/2,730.30 = 521.67/x
  3. Step 3: Cross multiply
    1,820.21x = 2,730.30 × 521.67
  4. Step 4: Simplify right side
    1,820.21x = 1,424,312.99
  5. Step 5: Solve for x
    x = 1,424,312.99/1,820.21
  6. Step 6: Final answer
    x = 782.50

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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.