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Finding the Fourth Proportional to 3,045.80, 4,564.82 and 1,728.59

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Solution

The fourth proportional to 3,045.80, 4,564.82 and 1,728.59 is: 2,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.80 : 4,564.82 = 1,728.59 : x
  2. Step 2: Convert to fraction form
    3,045.80/4,564.82 = 1,728.59/x
  3. Step 3: Cross multiply
    3,045.80x = 4,564.82 × 1,728.59
  4. Step 4: Simplify right side
    3,045.80x = 7,890,683.70
  5. Step 5: Solve for x
    x = 7,890,683.70/3,045.80
  6. Step 6: Final answer
    x = 2,590.67

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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.