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Finding the Fourth Proportional to 4,323.67, 6,485.14 and 1,160.85

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Solution

The fourth proportional to 4,323.67, 6,485.14 and 1,160.85 is: 1,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.67 : 6,485.14 = 1,160.85 : x
  2. Step 2: Convert to fraction form
    4,323.67/6,485.14 = 1,160.85/x
  3. Step 3: Cross multiply
    4,323.67x = 6,485.14 × 1,160.85
  4. Step 4: Simplify right side
    4,323.67x = 7,528,274.77
  5. Step 5: Solve for x
    x = 7,528,274.77/4,323.67
  6. Step 6: Final answer
    x = 1,741.18

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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.