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Finding the Fourth Proportional to 1,819.93, 2,729.88 and 521.40

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Solution

The fourth proportional to 1,819.93, 2,729.88 and 521.40 is: 782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.93 : 2,729.88 = 521.40 : x
  2. Step 2: Convert to fraction form
    1,819.93/2,729.88 = 521.40/x
  3. Step 3: Cross multiply
    1,819.93x = 2,729.88 × 521.40
  4. Step 4: Simplify right side
    1,819.93x = 1,423,359.43
  5. Step 5: Solve for x
    x = 1,423,359.43/1,819.93
  6. Step 6: Final answer
    x = 782.10

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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.