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Finding the Fourth Proportional to 3,166.91, 4,752.41 and 1,707.08

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Solution

The fourth proportional to 3,166.91, 4,752.41 and 1,707.08 is: 2,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.91 : 4,752.41 = 1,707.08 : x
  2. Step 2: Convert to fraction form
    3,166.91/4,752.41 = 1,707.08/x
  3. Step 3: Cross multiply
    3,166.91x = 4,752.41 × 1,707.08
  4. Step 4: Simplify right side
    3,166.91x = 8,112,744.06
  5. Step 5: Solve for x
    x = 8,112,744.06/3,166.91
  6. Step 6: Final answer
    x = 2,561.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.