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Finding the Fourth Proportional to 2,378.80, 3,281.22 and 1,539.16

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Solution

The fourth proportional to 2,378.80, 3,281.22 and 1,539.16 is: 2,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.80 : 3,281.22 = 1,539.16 : x
  2. Step 2: Convert to fraction form
    2,378.80/3,281.22 = 1,539.16/x
  3. Step 3: Cross multiply
    2,378.80x = 3,281.22 × 1,539.16
  4. Step 4: Simplify right side
    2,378.80x = 5,050,322.58
  5. Step 5: Solve for x
    x = 5,050,322.58/2,378.80
  6. Step 6: Final answer
    x = 2,123.05

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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.