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Finding the Fourth Proportional to 2,779.28, 4,167.35 and 929.41

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Solution

The fourth proportional to 2,779.28, 4,167.35 and 929.41 is: 1,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.28 : 4,167.35 = 929.41 : x
  2. Step 2: Convert to fraction form
    2,779.28/4,167.35 = 929.41/x
  3. Step 3: Cross multiply
    2,779.28x = 4,167.35 × 929.41
  4. Step 4: Simplify right side
    2,779.28x = 3,873,165.18
  5. Step 5: Solve for x
    x = 3,873,165.18/2,779.28
  6. Step 6: Final answer
    x = 1,393.59

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