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Finding the Fourth Proportional to 3,032.39, 4,548.56 and 841.11

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Solution

The fourth proportional to 3,032.39, 4,548.56 and 841.11 is: 1,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.39 : 4,548.56 = 841.11 : x
  2. Step 2: Convert to fraction form
    3,032.39/4,548.56 = 841.11/x
  3. Step 3: Cross multiply
    3,032.39x = 4,548.56 × 841.11
  4. Step 4: Simplify right side
    3,032.39x = 3,825,839.30
  5. Step 5: Solve for x
    x = 3,825,839.30/3,032.39
  6. Step 6: Final answer
    x = 1,261.66

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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.