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Finding the Fourth Proportional to 2,694.95, 4,045.81 and 2,570.31

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Solution

The fourth proportional to 2,694.95, 4,045.81 and 2,570.31 is: 3,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.95 : 4,045.81 = 2,570.31 : x
  2. Step 2: Convert to fraction form
    2,694.95/4,045.81 = 2,570.31/x
  3. Step 3: Cross multiply
    2,694.95x = 4,045.81 × 2,570.31
  4. Step 4: Simplify right side
    2,694.95x = 10,398,985.90
  5. Step 5: Solve for x
    x = 10,398,985.90/2,694.95
  6. Step 6: Final answer
    x = 3,858.69

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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.