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Finding the Fourth Proportional to 2,051.26, 2,827.02 and 1,618.72

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Solution

The fourth proportional to 2,051.26, 2,827.02 and 1,618.72 is: 2,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.26 : 2,827.02 = 1,618.72 : x
  2. Step 2: Convert to fraction form
    2,051.26/2,827.02 = 1,618.72/x
  3. Step 3: Cross multiply
    2,051.26x = 2,827.02 × 1,618.72
  4. Step 4: Simplify right side
    2,051.26x = 4,576,153.81
  5. Step 5: Solve for x
    x = 4,576,153.81/2,051.26
  6. Step 6: Final answer
    x = 2,230.90

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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.