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Finding the Fourth Proportional to 3,000.14, 4,500.48 and 1,538.36

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Solution

The fourth proportional to 3,000.14, 4,500.48 and 1,538.36 is: 2,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.14 : 4,500.48 = 1,538.36 : x
  2. Step 2: Convert to fraction form
    3,000.14/4,500.48 = 1,538.36/x
  3. Step 3: Cross multiply
    3,000.14x = 4,500.48 × 1,538.36
  4. Step 4: Simplify right side
    3,000.14x = 6,923,358.41
  5. Step 5: Solve for x
    x = 6,923,358.41/3,000.14
  6. Step 6: Final answer
    x = 2,307.68

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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.