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Finding the Fourth Proportional to 2,779.65, 3,815.51 and 2,457.88

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Solution

The fourth proportional to 2,779.65, 3,815.51 and 2,457.88 is: 3,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.65 : 3,815.51 = 2,457.88 : x
  2. Step 2: Convert to fraction form
    2,779.65/3,815.51 = 2,457.88/x
  3. Step 3: Cross multiply
    2,779.65x = 3,815.51 × 2,457.88
  4. Step 4: Simplify right side
    2,779.65x = 9,378,043.89
  5. Step 5: Solve for x
    x = 9,378,043.89/2,779.65
  6. Step 6: Final answer
    x = 3,373.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.