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Finding the Fourth Proportional to 2,362.09, 3,543.60 and 976.18

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Solution

The fourth proportional to 2,362.09, 3,543.60 and 976.18 is: 1,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.09 : 3,543.60 = 976.18 : x
  2. Step 2: Convert to fraction form
    2,362.09/3,543.60 = 976.18/x
  3. Step 3: Cross multiply
    2,362.09x = 3,543.60 × 976.18
  4. Step 4: Simplify right side
    2,362.09x = 3,459,191.45
  5. Step 5: Solve for x
    x = 3,459,191.45/2,362.09
  6. Step 6: Final answer
    x = 1,464.46

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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.