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Finding the Fourth Proportional to 3,014.60, 4,522 and 1,432.98

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Solution

The fourth proportional to 3,014.60, 4,522 and 1,432.98 is: 2,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.60 : 4,522 = 1,432.98 : x
  2. Step 2: Convert to fraction form
    3,014.60/4,522 = 1,432.98/x
  3. Step 3: Cross multiply
    3,014.60x = 4,522 × 1,432.98
  4. Step 4: Simplify right side
    3,014.60x = 6,479,935.56
  5. Step 5: Solve for x
    x = 6,479,935.56/3,014.60
  6. Step 6: Final answer
    x = 2,149.52

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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.