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Finding the Fourth Proportional to 3,048.53, 4,572.90 and 1,200.02

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Solution

The fourth proportional to 3,048.53, 4,572.90 and 1,200.02 is: 1,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.53 : 4,572.90 = 1,200.02 : x
  2. Step 2: Convert to fraction form
    3,048.53/4,572.90 = 1,200.02/x
  3. Step 3: Cross multiply
    3,048.53x = 4,572.90 × 1,200.02
  4. Step 4: Simplify right side
    3,048.53x = 5,487,548.59
  5. Step 5: Solve for x
    x = 5,487,548.59/3,048.53
  6. Step 6: Final answer
    x = 1,800.07

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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.