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Finding the Fourth Proportional to 2,018.64, 3,028.41 and 632.07

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Solution

The fourth proportional to 2,018.64, 3,028.41 and 632.07 is: 948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.64 : 3,028.41 = 632.07 : x
  2. Step 2: Convert to fraction form
    2,018.64/3,028.41 = 632.07/x
  3. Step 3: Cross multiply
    2,018.64x = 3,028.41 × 632.07
  4. Step 4: Simplify right side
    2,018.64x = 1,914,167.11
  5. Step 5: Solve for x
    x = 1,914,167.11/2,018.64
  6. Step 6: Final answer
    x = 948.25

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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.