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Finding the Fourth Proportional to 3,271.85, 4,515 and 1,779.74

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Solution

The fourth proportional to 3,271.85, 4,515 and 1,779.74 is: 2,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.85 : 4,515 = 1,779.74 : x
  2. Step 2: Convert to fraction form
    3,271.85/4,515 = 1,779.74/x
  3. Step 3: Cross multiply
    3,271.85x = 4,515 × 1,779.74
  4. Step 4: Simplify right side
    3,271.85x = 8,035,526.10
  5. Step 5: Solve for x
    x = 8,035,526.10/3,271.85
  6. Step 6: Final answer
    x = 2,455.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.