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Finding the Fourth Proportional to 1,472.84, 2,031.67 and 919.88

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Solution

The fourth proportional to 1,472.84, 2,031.67 and 919.88 is: 1,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.84 : 2,031.67 = 919.88 : x
  2. Step 2: Convert to fraction form
    1,472.84/2,031.67 = 919.88/x
  3. Step 3: Cross multiply
    1,472.84x = 2,031.67 × 919.88
  4. Step 4: Simplify right side
    1,472.84x = 1,868,880.14
  5. Step 5: Solve for x
    x = 1,868,880.14/1,472.84
  6. Step 6: Final answer
    x = 1,268.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.