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Finding the Fourth Proportional to 2,779.98, 4,170.50 and 931.31

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Solution

The fourth proportional to 2,779.98, 4,170.50 and 931.31 is: 1,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.98 : 4,170.50 = 931.31 : x
  2. Step 2: Convert to fraction form
    2,779.98/4,170.50 = 931.31/x
  3. Step 3: Cross multiply
    2,779.98x = 4,170.50 × 931.31
  4. Step 4: Simplify right side
    2,779.98x = 3,884,028.36
  5. Step 5: Solve for x
    x = 3,884,028.36/2,779.98
  6. Step 6: Final answer
    x = 1,397.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.