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Finding the Fourth Proportional to 3,298.77, 4,552.18 and 1,971.68

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Solution

The fourth proportional to 3,298.77, 4,552.18 and 1,971.68 is: 2,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.77 : 4,552.18 = 1,971.68 : x
  2. Step 2: Convert to fraction form
    3,298.77/4,552.18 = 1,971.68/x
  3. Step 3: Cross multiply
    3,298.77x = 4,552.18 × 1,971.68
  4. Step 4: Simplify right side
    3,298.77x = 8,975,448.71
  5. Step 5: Solve for x
    x = 8,975,448.71/3,298.77
  6. Step 6: Final answer
    x = 2,720.85

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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.