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Finding the Fourth Proportional to 3,014.67, 4,522.43 and 934.85

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Solution

The fourth proportional to 3,014.67, 4,522.43 and 934.85 is: 1,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.67 : 4,522.43 = 934.85 : x
  2. Step 2: Convert to fraction form
    3,014.67/4,522.43 = 934.85/x
  3. Step 3: Cross multiply
    3,014.67x = 4,522.43 × 934.85
  4. Step 4: Simplify right side
    3,014.67x = 4,227,773.41
  5. Step 5: Solve for x
    x = 4,227,773.41/3,014.67
  6. Step 6: Final answer
    x = 1,402.40

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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.