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Finding the Fourth Proportional to 2,364.34, 3,543.08 and 2,104.86

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Solution

The fourth proportional to 2,364.34, 3,543.08 and 2,104.86 is: 3,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.34 : 3,543.08 = 2,104.86 : x
  2. Step 2: Convert to fraction form
    2,364.34/3,543.08 = 2,104.86/x
  3. Step 3: Cross multiply
    2,364.34x = 3,543.08 × 2,104.86
  4. Step 4: Simplify right side
    2,364.34x = 7,457,687.37
  5. Step 5: Solve for x
    x = 7,457,687.37/2,364.34
  6. Step 6: Final answer
    x = 3,154.24

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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.