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Finding the Fourth Proportional to 2,362.56, 3,543.21 and 975.48

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Solution

The fourth proportional to 2,362.56, 3,543.21 and 975.48 is: 1,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.56 : 3,543.21 = 975.48 : x
  2. Step 2: Convert to fraction form
    2,362.56/3,543.21 = 975.48/x
  3. Step 3: Cross multiply
    2,362.56x = 3,543.21 × 975.48
  4. Step 4: Simplify right side
    2,362.56x = 3,456,330.49
  5. Step 5: Solve for x
    x = 3,456,330.49/2,362.56
  6. Step 6: Final answer
    x = 1,462.96

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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.