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Finding the Fourth Proportional to 3,298.06, 4,551.87 and 1,882

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Solution

The fourth proportional to 3,298.06, 4,551.87 and 1,882 is: 2,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.06 : 4,551.87 = 1,882 : x
  2. Step 2: Convert to fraction form
    3,298.06/4,551.87 = 1,882/x
  3. Step 3: Cross multiply
    3,298.06x = 4,551.87 × 1,882
  4. Step 4: Simplify right side
    3,298.06x = 8,566,619.34
  5. Step 5: Solve for x
    x = 8,566,619.34/3,298.06
  6. Step 6: Final answer
    x = 2,597.47

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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.