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Finding the Fourth Proportional to 4,562.60, 6,842.70 and 1,442.60

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Solution

The fourth proportional to 4,562.60, 6,842.70 and 1,442.60 is: 2,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.60 : 6,842.70 = 1,442.60 : x
  2. Step 2: Convert to fraction form
    4,562.60/6,842.70 = 1,442.60/x
  3. Step 3: Cross multiply
    4,562.60x = 6,842.70 × 1,442.60
  4. Step 4: Simplify right side
    4,562.60x = 9,871,279.02
  5. Step 5: Solve for x
    x = 9,871,279.02/4,562.60
  6. Step 6: Final answer
    x = 2,163.52

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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.