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Finding the Fourth Proportional to 2,871.58, 4,304.94 and 1,139.26

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Solution

The fourth proportional to 2,871.58, 4,304.94 and 1,139.26 is: 1,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.58 : 4,304.94 = 1,139.26 : x
  2. Step 2: Convert to fraction form
    2,871.58/4,304.94 = 1,139.26/x
  3. Step 3: Cross multiply
    2,871.58x = 4,304.94 × 1,139.26
  4. Step 4: Simplify right side
    2,871.58x = 4,904,445.94
  5. Step 5: Solve for x
    x = 4,904,445.94/2,871.58
  6. Step 6: Final answer
    x = 1,707.93

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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.