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Finding the Fourth Proportional to 2,983.97, 4,476 and 1,036.24

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Solution

The fourth proportional to 2,983.97, 4,476 and 1,036.24 is: 1,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.97 : 4,476 = 1,036.24 : x
  2. Step 2: Convert to fraction form
    2,983.97/4,476 = 1,036.24/x
  3. Step 3: Cross multiply
    2,983.97x = 4,476 × 1,036.24
  4. Step 4: Simplify right side
    2,983.97x = 4,638,210.24
  5. Step 5: Solve for x
    x = 4,638,210.24/2,983.97
  6. Step 6: Final answer
    x = 1,554.38

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