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Finding the Fourth Proportional to 2,438.08, 3,655.68 and 899.20

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Solution

The fourth proportional to 2,438.08, 3,655.68 and 899.20 is: 1,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.08 : 3,655.68 = 899.20 : x
  2. Step 2: Convert to fraction form
    2,438.08/3,655.68 = 899.20/x
  3. Step 3: Cross multiply
    2,438.08x = 3,655.68 × 899.20
  4. Step 4: Simplify right side
    2,438.08x = 3,287,187.46
  5. Step 5: Solve for x
    x = 3,287,187.46/2,438.08
  6. Step 6: Final answer
    x = 1,348.27

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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.