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Finding the Fourth Proportional to 1,389.81, 2,084.68 and 567.88

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Solution

The fourth proportional to 1,389.81, 2,084.68 and 567.88 is: 851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.81 : 2,084.68 = 567.88 : x
  2. Step 2: Convert to fraction form
    1,389.81/2,084.68 = 567.88/x
  3. Step 3: Cross multiply
    1,389.81x = 2,084.68 × 567.88
  4. Step 4: Simplify right side
    1,389.81x = 1,183,848.08
  5. Step 5: Solve for x
    x = 1,183,848.08/1,389.81
  6. Step 6: Final answer
    x = 851.81

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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.