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Finding the Fourth Proportional to 2,991.57, 4,483.84 and 1,346.19

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Solution

The fourth proportional to 2,991.57, 4,483.84 and 1,346.19 is: 2,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.57 : 4,483.84 = 1,346.19 : x
  2. Step 2: Convert to fraction form
    2,991.57/4,483.84 = 1,346.19/x
  3. Step 3: Cross multiply
    2,991.57x = 4,483.84 × 1,346.19
  4. Step 4: Simplify right side
    2,991.57x = 6,036,100.57
  5. Step 5: Solve for x
    x = 6,036,100.57/2,991.57
  6. Step 6: Final answer
    x = 2,017.70

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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.