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Finding the Fourth Proportional to 2,018.84, 3,026.92 and 976.76

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Solution

The fourth proportional to 2,018.84, 3,026.92 and 976.76 is: 1,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.84 : 3,026.92 = 976.76 : x
  2. Step 2: Convert to fraction form
    2,018.84/3,026.92 = 976.76/x
  3. Step 3: Cross multiply
    2,018.84x = 3,026.92 × 976.76
  4. Step 4: Simplify right side
    2,018.84x = 2,956,574.38
  5. Step 5: Solve for x
    x = 2,956,574.38/2,018.84
  6. Step 6: Final answer
    x = 1,464.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.