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Finding the Fourth Proportional to 2,695.64, 3,720.31 and 1,952.06

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Solution

The fourth proportional to 2,695.64, 3,720.31 and 1,952.06 is: 2,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.64 : 3,720.31 = 1,952.06 : x
  2. Step 2: Convert to fraction form
    2,695.64/3,720.31 = 1,952.06/x
  3. Step 3: Cross multiply
    2,695.64x = 3,720.31 × 1,952.06
  4. Step 4: Simplify right side
    2,695.64x = 7,262,244.86
  5. Step 5: Solve for x
    x = 7,262,244.86/2,695.64
  6. Step 6: Final answer
    x = 2,694.08

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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.