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Finding the Fourth Proportional to 2,876.00, 4,322.21 and 1,416.18

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Solution

The fourth proportional to 2,876.00, 4,322.21 and 1,416.18 is: 2,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.00 : 4,322.21 = 1,416.18 : x
  2. Step 2: Convert to fraction form
    2,876.00/4,322.21 = 1,416.18/x
  3. Step 3: Cross multiply
    2,876.00x = 4,322.21 × 1,416.18
  4. Step 4: Simplify right side
    2,876.00x = 6,121,020.28
  5. Step 5: Solve for x
    x = 6,121,020.28/2,876.00
  6. Step 6: Final answer
    x = 2,128.31

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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.