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Finding the Fourth Proportional to 2,625.82, 3,938.98 and 870.45

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Solution

The fourth proportional to 2,625.82, 3,938.98 and 870.45 is: 1,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.82 : 3,938.98 = 870.45 : x
  2. Step 2: Convert to fraction form
    2,625.82/3,938.98 = 870.45/x
  3. Step 3: Cross multiply
    2,625.82x = 3,938.98 × 870.45
  4. Step 4: Simplify right side
    2,625.82x = 3,428,669.83
  5. Step 5: Solve for x
    x = 3,428,669.83/2,625.82
  6. Step 6: Final answer
    x = 1,305.75

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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.