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Finding the Fourth Proportional to 3,032.87, 4,548.80 and 841.82

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Solution

The fourth proportional to 3,032.87, 4,548.80 and 841.82 is: 1,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.87 : 4,548.80 = 841.82 : x
  2. Step 2: Convert to fraction form
    3,032.87/4,548.80 = 841.82/x
  3. Step 3: Cross multiply
    3,032.87x = 4,548.80 × 841.82
  4. Step 4: Simplify right side
    3,032.87x = 3,829,270.82
  5. Step 5: Solve for x
    x = 3,829,270.82/3,032.87
  6. Step 6: Final answer
    x = 1,262.59

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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.