Home / 1,647.14-2,272.28-983.61

Finding the Fourth Proportional to 1,647.14, 2,272.28 and 983.61

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Solution

The fourth proportional to 1,647.14, 2,272.28 and 983.61 is: 1,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.14 : 2,272.28 = 983.61 : x
  2. Step 2: Convert to fraction form
    1,647.14/2,272.28 = 983.61/x
  3. Step 3: Cross multiply
    1,647.14x = 2,272.28 × 983.61
  4. Step 4: Simplify right side
    1,647.14x = 2,235,032.41
  5. Step 5: Solve for x
    x = 2,235,032.41/1,647.14
  6. Step 6: Final answer
    x = 1,356.92

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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.