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Finding the Fourth Proportional to 4,342.60, 6,511.47 and 1,420.66

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Solution

The fourth proportional to 4,342.60, 6,511.47 and 1,420.66 is: 2,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.60 : 6,511.47 = 1,420.66 : x
  2. Step 2: Convert to fraction form
    4,342.60/6,511.47 = 1,420.66/x
  3. Step 3: Cross multiply
    4,342.60x = 6,511.47 × 1,420.66
  4. Step 4: Simplify right side
    4,342.60x = 9,250,584.97
  5. Step 5: Solve for x
    x = 9,250,584.97/4,342.60
  6. Step 6: Final answer
    x = 2,130.20

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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.