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Finding the Fourth Proportional to 2,537.81, 3,806.70 and 1,925.28

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Solution

The fourth proportional to 2,537.81, 3,806.70 and 1,925.28 is: 2,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.81 : 3,806.70 = 1,925.28 : x
  2. Step 2: Convert to fraction form
    2,537.81/3,806.70 = 1,925.28/x
  3. Step 3: Cross multiply
    2,537.81x = 3,806.70 × 1,925.28
  4. Step 4: Simplify right side
    2,537.81x = 7,328,945.45
  5. Step 5: Solve for x
    x = 7,328,945.45/2,537.81
  6. Step 6: Final answer
    x = 2,887.90

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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.