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Finding the Fourth Proportional to 4,567.46, 6,851.80 and 1,645.40

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Solution

The fourth proportional to 4,567.46, 6,851.80 and 1,645.40 is: 2,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.46 : 6,851.80 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    4,567.46/6,851.80 = 1,645.40/x
  3. Step 3: Cross multiply
    4,567.46x = 6,851.80 × 1,645.40
  4. Step 4: Simplify right side
    4,567.46x = 11,273,951.72
  5. Step 5: Solve for x
    x = 11,273,951.72/4,567.46
  6. Step 6: Final answer
    x = 2,468.32

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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.