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Finding the Fourth Proportional to 2,625.57, 3,938.09 and 870.51

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Solution

The fourth proportional to 2,625.57, 3,938.09 and 870.51 is: 1,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.57 : 3,938.09 = 870.51 : x
  2. Step 2: Convert to fraction form
    2,625.57/3,938.09 = 870.51/x
  3. Step 3: Cross multiply
    2,625.57x = 3,938.09 × 870.51
  4. Step 4: Simplify right side
    2,625.57x = 3,428,142.37
  5. Step 5: Solve for x
    x = 3,428,142.37/2,625.57
  6. Step 6: Final answer
    x = 1,305.68

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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.