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Finding the Fourth Proportional to 2,537.06, 3,806.33 and 977.19

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Solution

The fourth proportional to 2,537.06, 3,806.33 and 977.19 is: 1,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.06 : 3,806.33 = 977.19 : x
  2. Step 2: Convert to fraction form
    2,537.06/3,806.33 = 977.19/x
  3. Step 3: Cross multiply
    2,537.06x = 3,806.33 × 977.19
  4. Step 4: Simplify right side
    2,537.06x = 3,719,502.73
  5. Step 5: Solve for x
    x = 3,719,502.73/2,537.06
  6. Step 6: Final answer
    x = 1,466.07

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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.