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Finding the Fourth Proportional to 2,378.34, 3,281 and 1,539.31

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Solution

The fourth proportional to 2,378.34, 3,281 and 1,539.31 is: 2,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.34 : 3,281 = 1,539.31 : x
  2. Step 2: Convert to fraction form
    2,378.34/3,281 = 1,539.31/x
  3. Step 3: Cross multiply
    2,378.34x = 3,281 × 1,539.31
  4. Step 4: Simplify right side
    2,378.34x = 5,050,476.11
  5. Step 5: Solve for x
    x = 5,050,476.11/2,378.34
  6. Step 6: Final answer
    x = 2,123.53

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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.