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Finding the Fourth Proportional to 2,735.80, 3,776.90 and 1,779.90

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Solution

The fourth proportional to 2,735.80, 3,776.90 and 1,779.90 is: 2,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.80 : 3,776.90 = 1,779.90 : x
  2. Step 2: Convert to fraction form
    2,735.80/3,776.90 = 1,779.90/x
  3. Step 3: Cross multiply
    2,735.80x = 3,776.90 × 1,779.90
  4. Step 4: Simplify right side
    2,735.80x = 6,722,506.89
  5. Step 5: Solve for x
    x = 6,722,506.89/2,735.80
  6. Step 6: Final answer
    x = 2,457.24

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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.