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Finding the Fourth Proportional to 1,954.39, 2,931.74 and 567.74

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Solution

The fourth proportional to 1,954.39, 2,931.74 and 567.74 is: 851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.39 : 2,931.74 = 567.74 : x
  2. Step 2: Convert to fraction form
    1,954.39/2,931.74 = 567.74/x
  3. Step 3: Cross multiply
    1,954.39x = 2,931.74 × 567.74
  4. Step 4: Simplify right side
    1,954.39x = 1,664,470.56
  5. Step 5: Solve for x
    x = 1,664,470.56/1,954.39
  6. Step 6: Final answer
    x = 851.66

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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.