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Finding the Fourth Proportional to 1,921.87, 2,880.65 and 948.66

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Solution

The fourth proportional to 1,921.87, 2,880.65 and 948.66 is: 1,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.87 : 2,880.65 = 948.66 : x
  2. Step 2: Convert to fraction form
    1,921.87/2,880.65 = 948.66/x
  3. Step 3: Cross multiply
    1,921.87x = 2,880.65 × 948.66
  4. Step 4: Simplify right side
    1,921.87x = 2,732,738.28
  5. Step 5: Solve for x
    x = 2,732,738.28/1,921.87
  6. Step 6: Final answer
    x = 1,421.92

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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.