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Finding the Fourth Proportional to 2,967.77, 4,095.61 and 1,709.24

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Solution

The fourth proportional to 2,967.77, 4,095.61 and 1,709.24 is: 2,358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.77 : 4,095.61 = 1,709.24 : x
  2. Step 2: Convert to fraction form
    2,967.77/4,095.61 = 1,709.24/x
  3. Step 3: Cross multiply
    2,967.77x = 4,095.61 × 1,709.24
  4. Step 4: Simplify right side
    2,967.77x = 7,000,355.69
  5. Step 5: Solve for x
    x = 7,000,355.69/2,967.77
  6. Step 6: Final answer
    x = 2,358.79

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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.