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Finding the Fourth Proportional to 4,203, 6,307.20 and 1,894.50

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Solution

The fourth proportional to 4,203, 6,307.20 and 1,894.50 is: 2,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203 : 6,307.20 = 1,894.50 : x
  2. Step 2: Convert to fraction form
    4,203/6,307.20 = 1,894.50/x
  3. Step 3: Cross multiply
    4,203x = 6,307.20 × 1,894.50
  4. Step 4: Simplify right side
    4,203x = 11,948,990.40
  5. Step 5: Solve for x
    x = 11,948,990.40/4,203
  6. Step 6: Final answer
    x = 2,842.97

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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.