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Finding the Fourth Proportional to 2,695.69, 3,720.66 and 1,577.14

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Solution

The fourth proportional to 2,695.69, 3,720.66 and 1,577.14 is: 2,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.69 : 3,720.66 = 1,577.14 : x
  2. Step 2: Convert to fraction form
    2,695.69/3,720.66 = 1,577.14/x
  3. Step 3: Cross multiply
    2,695.69x = 3,720.66 × 1,577.14
  4. Step 4: Simplify right side
    2,695.69x = 5,867,983.11
  5. Step 5: Solve for x
    x = 5,867,983.11/2,695.69
  6. Step 6: Final answer
    x = 2,176.81

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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.