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Finding the Fourth Proportional to 1,630.90, 2,249.17 and 1,071.17

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Solution

The fourth proportional to 1,630.90, 2,249.17 and 1,071.17 is: 1,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.90 : 2,249.17 = 1,071.17 : x
  2. Step 2: Convert to fraction form
    1,630.90/2,249.17 = 1,071.17/x
  3. Step 3: Cross multiply
    1,630.90x = 2,249.17 × 1,071.17
  4. Step 4: Simplify right side
    1,630.90x = 2,409,250.59
  5. Step 5: Solve for x
    x = 2,409,250.59/1,630.90
  6. Step 6: Final answer
    x = 1,477.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.