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Finding the Fourth Proportional to 4,703.84, 7,056.12 and 1,241

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Solution

The fourth proportional to 4,703.84, 7,056.12 and 1,241 is: 1,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.84 : 7,056.12 = 1,241 : x
  2. Step 2: Convert to fraction form
    4,703.84/7,056.12 = 1,241/x
  3. Step 3: Cross multiply
    4,703.84x = 7,056.12 × 1,241
  4. Step 4: Simplify right side
    4,703.84x = 8,756,644.92
  5. Step 5: Solve for x
    x = 8,756,644.92/4,703.84
  6. Step 6: Final answer
    x = 1,861.59

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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.