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Finding the Fourth Proportional to 2,658.78, 3,989.70 and 1,014.90

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Solution

The fourth proportional to 2,658.78, 3,989.70 and 1,014.90 is: 1,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.78 : 3,989.70 = 1,014.90 : x
  2. Step 2: Convert to fraction form
    2,658.78/3,989.70 = 1,014.90/x
  3. Step 3: Cross multiply
    2,658.78x = 3,989.70 × 1,014.90
  4. Step 4: Simplify right side
    2,658.78x = 4,049,146.53
  5. Step 5: Solve for x
    x = 4,049,146.53/2,658.78
  6. Step 6: Final answer
    x = 1,522.93

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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.