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Finding the Fourth Proportional to 2,364.03, 3,543.44 and 976.61

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Solution

The fourth proportional to 2,364.03, 3,543.44 and 976.61 is: 1,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.03 : 3,543.44 = 976.61 : x
  2. Step 2: Convert to fraction form
    2,364.03/3,543.44 = 976.61/x
  3. Step 3: Cross multiply
    2,364.03x = 3,543.44 × 976.61
  4. Step 4: Simplify right side
    2,364.03x = 3,460,536.34
  5. Step 5: Solve for x
    x = 3,460,536.34/2,364.03
  6. Step 6: Final answer
    x = 1,463.83

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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.