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Finding the Fourth Proportional to 2,779.53, 3,835.18 and 1,660.06

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Solution

The fourth proportional to 2,779.53, 3,835.18 and 1,660.06 is: 2,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.53 : 3,835.18 = 1,660.06 : x
  2. Step 2: Convert to fraction form
    2,779.53/3,835.18 = 1,660.06/x
  3. Step 3: Cross multiply
    2,779.53x = 3,835.18 × 1,660.06
  4. Step 4: Simplify right side
    2,779.53x = 6,366,615.17
  5. Step 5: Solve for x
    x = 6,366,615.17/2,779.53
  6. Step 6: Final answer
    x = 2,290.54

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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.