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Finding the Fourth Proportional to 2,362.86, 3,543.93 and 823.50

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Solution

The fourth proportional to 2,362.86, 3,543.93 and 823.50 is: 1,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.86 : 3,543.93 = 823.50 : x
  2. Step 2: Convert to fraction form
    2,362.86/3,543.93 = 823.50/x
  3. Step 3: Cross multiply
    2,362.86x = 3,543.93 × 823.50
  4. Step 4: Simplify right side
    2,362.86x = 2,918,426.36
  5. Step 5: Solve for x
    x = 2,918,426.36/2,362.86
  6. Step 6: Final answer
    x = 1,235.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.