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Finding the Fourth Proportional to 1,969.59, 2,952.81 and 929.04

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Solution

The fourth proportional to 1,969.59, 2,952.81 and 929.04 is: 1,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.59 : 2,952.81 = 929.04 : x
  2. Step 2: Convert to fraction form
    1,969.59/2,952.81 = 929.04/x
  3. Step 3: Cross multiply
    1,969.59x = 2,952.81 × 929.04
  4. Step 4: Simplify right side
    1,969.59x = 2,743,278.60
  5. Step 5: Solve for x
    x = 2,743,278.60/1,969.59
  6. Step 6: Final answer
    x = 1,392.82

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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.