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Finding the Fourth Proportional to 2,364.60, 3,529.82 and 2,073

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Solution

The fourth proportional to 2,364.60, 3,529.82 and 2,073 is: 3,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.60 : 3,529.82 = 2,073 : x
  2. Step 2: Convert to fraction form
    2,364.60/3,529.82 = 2,073/x
  3. Step 3: Cross multiply
    2,364.60x = 3,529.82 × 2,073
  4. Step 4: Simplify right side
    2,364.60x = 7,317,316.86
  5. Step 5: Solve for x
    x = 7,317,316.86/2,364.60
  6. Step 6: Final answer
    x = 3,094.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.