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Finding the Fourth Proportional to 2,703, 3,729.16 and 1,583.53

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Solution

The fourth proportional to 2,703, 3,729.16 and 1,583.53 is: 2,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703 : 3,729.16 = 1,583.53 : x
  2. Step 2: Convert to fraction form
    2,703/3,729.16 = 1,583.53/x
  3. Step 3: Cross multiply
    2,703x = 3,729.16 × 1,583.53
  4. Step 4: Simplify right side
    2,703x = 5,905,236.73
  5. Step 5: Solve for x
    x = 5,905,236.73/2,703
  6. Step 6: Final answer
    x = 2,184.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.