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Finding the Fourth Proportional to 2,779.46, 4,173.34 and 1,746

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Solution

The fourth proportional to 2,779.46, 4,173.34 and 1,746 is: 2,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.46 : 4,173.34 = 1,746 : x
  2. Step 2: Convert to fraction form
    2,779.46/4,173.34 = 1,746/x
  3. Step 3: Cross multiply
    2,779.46x = 4,173.34 × 1,746
  4. Step 4: Simplify right side
    2,779.46x = 7,286,647.28
  5. Step 5: Solve for x
    x = 7,286,647.28/2,779.46
  6. Step 6: Final answer
    x = 2,621.61

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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.