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Finding the Fourth Proportional to 3,032.57, 4,548.82 and 841.22

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Solution

The fourth proportional to 3,032.57, 4,548.82 and 841.22 is: 1,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.57 : 4,548.82 = 841.22 : x
  2. Step 2: Convert to fraction form
    3,032.57/4,548.82 = 841.22/x
  3. Step 3: Cross multiply
    3,032.57x = 4,548.82 × 841.22
  4. Step 4: Simplify right side
    3,032.57x = 3,826,558.36
  5. Step 5: Solve for x
    x = 3,826,558.36/3,032.57
  6. Step 6: Final answer
    x = 1,261.82

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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.