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Finding the Fourth Proportional to 4,599.90, 6,894.93 and 1,968.78

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Solution

The fourth proportional to 4,599.90, 6,894.93 and 1,968.78 is: 2,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.90 : 6,894.93 = 1,968.78 : x
  2. Step 2: Convert to fraction form
    4,599.90/6,894.93 = 1,968.78/x
  3. Step 3: Cross multiply
    4,599.90x = 6,894.93 × 1,968.78
  4. Step 4: Simplify right side
    4,599.90x = 13,574,600.29
  5. Step 5: Solve for x
    x = 13,574,600.29/4,599.90
  6. Step 6: Final answer
    x = 2,951.06

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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.