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Finding the Fourth Proportional to 2,779.65, 3,835 and 1,660.77

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Solution

The fourth proportional to 2,779.65, 3,835 and 1,660.77 is: 2,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.65 : 3,835 = 1,660.77 : x
  2. Step 2: Convert to fraction form
    2,779.65/3,835 = 1,660.77/x
  3. Step 3: Cross multiply
    2,779.65x = 3,835 × 1,660.77
  4. Step 4: Simplify right side
    2,779.65x = 6,369,052.95
  5. Step 5: Solve for x
    x = 6,369,052.95/2,779.65
  6. Step 6: Final answer
    x = 2,291.31

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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.