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Finding the Fourth Proportional to 2,362.86, 3,543.69 and 976.59

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Solution

The fourth proportional to 2,362.86, 3,543.69 and 976.59 is: 1,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.86 : 3,543.69 = 976.59 : x
  2. Step 2: Convert to fraction form
    2,362.86/3,543.69 = 976.59/x
  3. Step 3: Cross multiply
    2,362.86x = 3,543.69 × 976.59
  4. Step 4: Simplify right side
    2,362.86x = 3,460,732.22
  5. Step 5: Solve for x
    x = 3,460,732.22/2,362.86
  6. Step 6: Final answer
    x = 1,464.64

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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.