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Finding the Fourth Proportional to 2,539.85, 3,807.14 and 1,304.51

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Solution

The fourth proportional to 2,539.85, 3,807.14 and 1,304.51 is: 1,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.85 : 3,807.14 = 1,304.51 : x
  2. Step 2: Convert to fraction form
    2,539.85/3,807.14 = 1,304.51/x
  3. Step 3: Cross multiply
    2,539.85x = 3,807.14 × 1,304.51
  4. Step 4: Simplify right side
    2,539.85x = 4,966,426.64
  5. Step 5: Solve for x
    x = 4,966,426.64/2,539.85
  6. Step 6: Final answer
    x = 1,955.41

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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.