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Finding the Fourth Proportional to 2,116.76, 2,923.44 and 1,650.32

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Solution

The fourth proportional to 2,116.76, 2,923.44 and 1,650.32 is: 2,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.76 : 2,923.44 = 1,650.32 : x
  2. Step 2: Convert to fraction form
    2,116.76/2,923.44 = 1,650.32/x
  3. Step 3: Cross multiply
    2,116.76x = 2,923.44 × 1,650.32
  4. Step 4: Simplify right side
    2,116.76x = 4,824,611.50
  5. Step 5: Solve for x
    x = 4,824,611.50/2,116.76
  6. Step 6: Final answer
    x = 2,279.24

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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.