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Finding the Fourth Proportional to 2,735.04, 3,773.88 and 1,803

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Solution

The fourth proportional to 2,735.04, 3,773.88 and 1,803 is: 2,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.04 : 3,773.88 = 1,803 : x
  2. Step 2: Convert to fraction form
    2,735.04/3,773.88 = 1,803/x
  3. Step 3: Cross multiply
    2,735.04x = 3,773.88 × 1,803
  4. Step 4: Simplify right side
    2,735.04x = 6,804,305.64
  5. Step 5: Solve for x
    x = 6,804,305.64/2,735.04
  6. Step 6: Final answer
    x = 2,487.83

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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.