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Finding the Fourth Proportional to 2,624.50, 3,621.72 and 1,445.50

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Solution

The fourth proportional to 2,624.50, 3,621.72 and 1,445.50 is: 1,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.50 : 3,621.72 = 1,445.50 : x
  2. Step 2: Convert to fraction form
    2,624.50/3,621.72 = 1,445.50/x
  3. Step 3: Cross multiply
    2,624.50x = 3,621.72 × 1,445.50
  4. Step 4: Simplify right side
    2,624.50x = 5,235,196.26
  5. Step 5: Solve for x
    x = 5,235,196.26/2,624.50
  6. Step 6: Final answer
    x = 1,994.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.