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Finding the Fourth Proportional to 1,800.12, 2,700.38 and 567.56

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Solution

The fourth proportional to 1,800.12, 2,700.38 and 567.56 is: 851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.12 : 2,700.38 = 567.56 : x
  2. Step 2: Convert to fraction form
    1,800.12/2,700.38 = 567.56/x
  3. Step 3: Cross multiply
    1,800.12x = 2,700.38 × 567.56
  4. Step 4: Simplify right side
    1,800.12x = 1,532,627.67
  5. Step 5: Solve for x
    x = 1,532,627.67/1,800.12
  6. Step 6: Final answer
    x = 851.40

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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.