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Finding the Fourth Proportional to 2,689.72, 3,711.75 and 1,570.75

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Solution

The fourth proportional to 2,689.72, 3,711.75 and 1,570.75 is: 2,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.72 : 3,711.75 = 1,570.75 : x
  2. Step 2: Convert to fraction form
    2,689.72/3,711.75 = 1,570.75/x
  3. Step 3: Cross multiply
    2,689.72x = 3,711.75 × 1,570.75
  4. Step 4: Simplify right side
    2,689.72x = 5,830,231.31
  5. Step 5: Solve for x
    x = 5,830,231.31/2,689.72
  6. Step 6: Final answer
    x = 2,167.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.