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Finding the Fourth Proportional to 3,283.63, 4,927.50 and 1,702.51

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Solution

The fourth proportional to 3,283.63, 4,927.50 and 1,702.51 is: 2,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.63 : 4,927.50 = 1,702.51 : x
  2. Step 2: Convert to fraction form
    3,283.63/4,927.50 = 1,702.51/x
  3. Step 3: Cross multiply
    3,283.63x = 4,927.50 × 1,702.51
  4. Step 4: Simplify right side
    3,283.63x = 8,389,118.03
  5. Step 5: Solve for x
    x = 8,389,118.03/3,283.63
  6. Step 6: Final answer
    x = 2,554.83

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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.