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Finding the Fourth Proportional to 1,927.16, 2,660.13 and 1,484.49

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Solution

The fourth proportional to 1,927.16, 2,660.13 and 1,484.49 is: 2,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.16 : 2,660.13 = 1,484.49 : x
  2. Step 2: Convert to fraction form
    1,927.16/2,660.13 = 1,484.49/x
  3. Step 3: Cross multiply
    1,927.16x = 2,660.13 × 1,484.49
  4. Step 4: Simplify right side
    1,927.16x = 3,948,936.38
  5. Step 5: Solve for x
    x = 3,948,936.38/1,927.16
  6. Step 6: Final answer
    x = 2,049.10

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Why These Related Problems?

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