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Finding the Fourth Proportional to 2,989.52, 4,478.52 and 1,451.60

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Solution

The fourth proportional to 2,989.52, 4,478.52 and 1,451.60 is: 2,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.52 : 4,478.52 = 1,451.60 : x
  2. Step 2: Convert to fraction form
    2,989.52/4,478.52 = 1,451.60/x
  3. Step 3: Cross multiply
    2,989.52x = 4,478.52 × 1,451.60
  4. Step 4: Simplify right side
    2,989.52x = 6,501,019.63
  5. Step 5: Solve for x
    x = 6,501,019.63/2,989.52
  6. Step 6: Final answer
    x = 2,174.60

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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.