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Finding the Fourth Proportional to 2,530.15, 3,796.23 and 887.87

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Solution

The fourth proportional to 2,530.15, 3,796.23 and 887.87 is: 1,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.15 : 3,796.23 = 887.87 : x
  2. Step 2: Convert to fraction form
    2,530.15/3,796.23 = 887.87/x
  3. Step 3: Cross multiply
    2,530.15x = 3,796.23 × 887.87
  4. Step 4: Simplify right side
    2,530.15x = 3,370,558.73
  5. Step 5: Solve for x
    x = 3,370,558.73/2,530.15
  6. Step 6: Final answer
    x = 1,332.16

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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.