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Finding the Fourth Proportional to 3,047.60, 4,572.62 and 1,199.18

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Solution

The fourth proportional to 3,047.60, 4,572.62 and 1,199.18 is: 1,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.60 : 4,572.62 = 1,199.18 : x
  2. Step 2: Convert to fraction form
    3,047.60/4,572.62 = 1,199.18/x
  3. Step 3: Cross multiply
    3,047.60x = 4,572.62 × 1,199.18
  4. Step 4: Simplify right side
    3,047.60x = 5,483,394.45
  5. Step 5: Solve for x
    x = 5,483,394.45/3,047.60
  6. Step 6: Final answer
    x = 1,799.25

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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.