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Finding the Fourth Proportional to 2,210.60, 3,316.59 and 824.05

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Solution

The fourth proportional to 2,210.60, 3,316.59 and 824.05 is: 1,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.60 : 3,316.59 = 824.05 : x
  2. Step 2: Convert to fraction form
    2,210.60/3,316.59 = 824.05/x
  3. Step 3: Cross multiply
    2,210.60x = 3,316.59 × 824.05
  4. Step 4: Simplify right side
    2,210.60x = 2,733,027.70
  5. Step 5: Solve for x
    x = 2,733,027.70/2,210.60
  6. Step 6: Final answer
    x = 1,236.33

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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.