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Finding the Fourth Proportional to 2,538.08, 3,806.51 and 872.01

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Solution

The fourth proportional to 2,538.08, 3,806.51 and 872.01 is: 1,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.08 : 3,806.51 = 872.01 : x
  2. Step 2: Convert to fraction form
    2,538.08/3,806.51 = 872.01/x
  3. Step 3: Cross multiply
    2,538.08x = 3,806.51 × 872.01
  4. Step 4: Simplify right side
    2,538.08x = 3,319,300.91
  5. Step 5: Solve for x
    x = 3,319,300.91/2,538.08
  6. Step 6: Final answer
    x = 1,307.80

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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.