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Finding the Fourth Proportional to 2,689.22, 3,709.56 and 1,570.01

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Solution

The fourth proportional to 2,689.22, 3,709.56 and 1,570.01 is: 2,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.22 : 3,709.56 = 1,570.01 : x
  2. Step 2: Convert to fraction form
    2,689.22/3,709.56 = 1,570.01/x
  3. Step 3: Cross multiply
    2,689.22x = 3,709.56 × 1,570.01
  4. Step 4: Simplify right side
    2,689.22x = 5,824,046.30
  5. Step 5: Solve for x
    x = 5,824,046.30/2,689.22
  6. Step 6: Final answer
    x = 2,165.70

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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.