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Finding the Fourth Proportional to 1,272, 1,917.84 and 1,018.56

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Solution

The fourth proportional to 1,272, 1,917.84 and 1,018.56 is: 1,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272 : 1,917.84 = 1,018.56 : x
  2. Step 2: Convert to fraction form
    1,272/1,917.84 = 1,018.56/x
  3. Step 3: Cross multiply
    1,272x = 1,917.84 × 1,018.56
  4. Step 4: Simplify right side
    1,272x = 1,953,435.11
  5. Step 5: Solve for x
    x = 1,953,435.11/1,272
  6. Step 6: Final answer
    x = 1,535.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.