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Finding the Fourth Proportional to 3,000.64, 4,501.23 and 1,538.86

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Solution

The fourth proportional to 3,000.64, 4,501.23 and 1,538.86 is: 2,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.64 : 4,501.23 = 1,538.86 : x
  2. Step 2: Convert to fraction form
    3,000.64/4,501.23 = 1,538.86/x
  3. Step 3: Cross multiply
    3,000.64x = 4,501.23 × 1,538.86
  4. Step 4: Simplify right side
    3,000.64x = 6,926,762.80
  5. Step 5: Solve for x
    x = 6,926,762.80/3,000.64
  6. Step 6: Final answer
    x = 2,308.43

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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.